Disciplines / Research questions

物理学

691 个研究主题 · 2739 个问题

无粒子产生4 个问题
  1. No-particle-production classification for supersymmetric two-dimensional theories with multiple superfields or extended supersymmetry

  2. Completing the classification of two-dimensional Lagrangians with no tree-level particle production: multi-field seeds, non-Toda solutions, and quantum persistence

  3. Integrable structure of the Drinfeld-twisted Landau-Lifshitz models: Lax pair, multi-particle S-matrix factorization, and the quantum boost operator

  4. Loop-level viability and general extension of the omega-regulated massless S-matrix for integrable sigma-models

无穷乘积表达2 个问题
  1. Rigorous analytic structure of the double-scaled SYK partition function: high-temperature coefficient asymptotics, zeros of Z(it), and the infinite-product representation

  2. Closed product representation of the residual determinant of the square-lattice Ising model on the open L×M rectangle

无限格点极限2 个问题
  1. Exact solution of the Mangazeev-Bazhanov-Sergeev integrable 3D lattice model: convergence of the partition function, transfer-matrix spectrum, and rank-size duality

  2. Infinite-volume mean-field and large-mass limits of interacting Bose gases beyond the cluster-expansion regime

无限守恒量1 个问题
  1. All-or-nothing dichotomy of local conserved quantities in Hermitian spin chains beyond the parity-symmetric spin-1/2 nearest-neighbor class

无序临界相(disordered critical phase)1 个问题
  1. Full disorder-averaged negativity spectrum of the partial transpose in the random singlet phase

    未解决约 6 年
五夸克态是否存在?4 个问题
  1. Existence and spectrum of fully-heavy pentaquarks QQQQQˉQQQQ\bar{Q}: a rigorous five-body determination of stable bound states

    未解决约 5 年
  2. Unambiguous spin–parity and structure assignment for the strange hidden-charm pentaquark candidates Pcs(4338)P_{cs}(4338) and Pcs(4459)P_{cs}(4459)

    未解决约 5 年
  3. Two-body strong decays and experimental search channels of the predicted compact isovector hidden-charm-singly-strange pentaquark states Pcs+(uusccˉ)P_{cs}^{+}(uusc\bar{c})

    未解决不足 1 年
  4. Existence of narrow light pentaquark baryons: the S=+1S=+1 Θ+(1540)\Theta^+(1540) and the S=−2S=-2 exotic candidates

    未解决约 29 年
物质自转与引力场的作用4 个问题
  1. Frame dragging by rotating matter shells and gravitational-wave pulses beyond perturbation theory: the domain of validity of ω=2Lz/R3\omega = 2L_z/R^3

    未解决约 8 年
  2. Rotating thin shells in (2+1)-dimensional asymptotically AdS spacetimes: the overspinning regime and admissible matter models

    未解决约 11 年
  3. Gravitational field of the spinning Q-lump cosmic string beyond the weak-field, winding-N=2 approximation

    未解决约 18 年
  4. The causal-mass criterion for perfect cosmic inertial dragging: proving, disproving, or quantifying the Braeck–Grøn–Farup conjecture in general relativity

    未解决约 9 年
细胞调控和信号途径的动力学研究10 个问题
  1. Quantitative reconstruction of the Waddington cell-fate landscape and attractor dynamics of gene regulatory networks from empirical high-dimensional expression data

    未解决约 10 年
  2. Quantitative mechanistic origin of variability in the p53-Mdm2 oscillatory DNA-damage response, and of its delay-period-damping relationship

    未解决约 20 年
  3. Information-thermodynamic bounds on biochemical signal transduction beyond the linear-Gaussian model: nonlinear and time-delayed feedback networks, backward transfer entropy, and experimental verification

    未解决约 11 年
  4. Molecular mechanism of BMP time-integration by SOX2 in human pluripotent stem cells

    未解决约 2 年
  5. Quantitative encoding of TCR signal dynamics in the temporal structure of transcription in vivo: affinity-to-transcription mapping, tonic signal mechanisms, and the time-frequency mathematics of the Tocky system

    未解决约 8 年
  6. Open problem: the mechanistic and functional basis of intermittent FGF4/ERK oscillations in mouse embryonic stem cells

    未解决约 4 年
  7. Mechanisms of RTK-level antagonistic control and dynamic decoding of pulsatile Erk signaling in epithelial proliferative control

    未解决约 7 年
  8. Causal status and context dependence of the time-integrator relationship between ERK/Akt activity dynamics and stochastic cell division

    未解决约 2 年
  9. Mechanistic basis of spatiotemporally defined RAS–ERK signals dictating cell fate in MCF-7 mammary epithelial cells: control of sustained ERK phosphorylation and compartmental sufficiency for differentiation

    未解决约 10 年
  10. Quantitative mapping of β-catenin signal dynamics to proliferation, Gadd45γ-dependent arrest, and apoptosis in differentiating neural stem cells

    未解决约 5 年
细胞骨架的组织机理7 个问题
  1. Molecular motors and the extensile-contractile force balance governing bipolar versus multipolar spindle self-organization in Xenopus egg extracts

    未解决约 5 年
  2. Quantitative mechanical mapping from actin-network architecture to microtubule plus-end dynamics and spindle assembly

    未解决约 8 年
  3. Molecular-scale origins of the coarse-grained active liquid crystal description of the human mitotic spindle

    未解决约 1 年
  4. Quantitative physical account of actin-mediated registry of non-muscle myosin II filament stacks

    未解决约 9 年
  5. Molecular basis and functional consequences of vimentin association with the actomyosin cortex in mitosis

    未解决约 7 年
  6. Molecular and physical mechanism of Eg5-organized antiparallel microtubule bundling in the human metaphase spindle

    未解决不足 1 年
  7. Robustness of growth-induced kinetic trapping in cytoskeletal filament networks to nucleation, motors, turnover, and filament type

    未解决约 2 年
弦论中标准粒子模型的实现10 个问题
  1. Completing the heterotic Z6\mathbb{Z}_6-II orbifold MSSM: all-orders supersymmetric vacua and full phenomenological viability of the Buchmüller–Hamaguchi–Lebedev–Ratz model

    未解决约 20 年
  2. Dynamical completion of the Z4RZ_{4R} R-parity construction from Z12−IZ_{12-I} orbifold compactification of the SO(32) heterotic string

    未解决约 5 年
  3. String-loop completion of the minimal Z3\mathbb{Z}_3 orbifold Pati–Salam quiver: anomaly-canceling terms, Fayet–Iliopoulos coefficients, and the symmetry-breaking scales

    未解决约 19 年
  4. Physical Yukawa couplings in heterotic Calabi–Yau compactifications: singular loci, non-standard-embedding bundles, and multi-parameter moduli

    未解决约 17 年
  5. Local-to-global completion of the intersecting D-brane Standard Model with a bulk leptonic U(1)U(1)

    未解决约 4 年
  6. Standard-like heterotic-string vacuum with a low-scale anomaly-free Z′: explicit x-sector construction and low-energy validation

    未解决约 12 年
  7. Completing the small Dirac neutrino mass mechanism of Casas–Ibáñez–Marchesano in a globally consistent type IIA orientifold

    未解决约 2 年
  8. Completing the D3-brane Standard Model: compact Calabi-Yau embedding, moduli stabilization, and realistic soft supersymmetry breaking for the del Pezzo construction

    未解决约 21 年
  9. Perturbative vacuum stability and dilaton stabilization of the three-generation standard-like model from the tachyonic ten-dimensional heterotic-string vacuum

    未解决约 6 年
  10. Explicit slope-stable hidden-sector bundle with vanishing five-brane class for the minimal heterotic standard model

    未解决约 20 年
弦论中宇宙弦产生的定量研究6 个问题
  1. Open questions for small-tension cosmic strings from D3 branes wrapped on deformed singularities: cosmological production, world-sheet theory, and observational distinguishability

    未解决约 17 年
  2. First-principles microphysical and multi-scale dynamics inputs for firm quantitative constraints on scaling cosmic superstring networks

    未解决约 15 年
  3. The loop-formation size distribution and modelling systematics of the cosmic-superstring stochastic gravitational-wave background

    未解决约 21 年
  4. Self-consistent dynamics and radiation of axion-emitting cosmic superstring networks

    未解决约 2 年
  5. Reliable gravitational production rate of perturbative string states at the end of inflation and during reheating

    未解决约 18 年
  6. Uncertainty-controlled Kaluza-Klein emission constraints on cosmic superstrings: loop-population inputs, KK-mode lifetimes, and compactifications beyond the Klebanov-Strassler throat

    未解决约 14 年
弦宇宙学的初始条件问题7 个问题
  1. Nonperturbative holographic dual of the two-dimensional string cosmology (c=1 Liouville times c=25 Liouville worldsheet)

    未解决约 3 年
  2. Global viability of extended pre-big-bang cosmology as the source of the nanohertz gravitational-wave background

    未解决约 1 年
  3. Decisive multi-band gravitational-wave test of pre-big-bang string cosmology: breaking the (beta, z_s, z_d, z_sigma) degeneracy and bounding the dilaton-growth exponent

    未解决约 1 年
  4. Covariant embedding and string-theory origin of all-order α′\alpha' O(d,d)-invariant bouncing string cosmologies, and their primordial perturbations

    未解决约 3 年
  5. Experimental test of pre-big bang cosmology through its relic gravitational-wave background: multi-band confirmation or exclusion of the string parameter space

    未解决约 10 年
  6. Non-singular string cosmology from all-order α′ corrections: first-principles foundations and physical viability

    未解决约 7 年
  7. Completing the finite-matter alternative string-landscape cosmology: Einstein-equation consistency with nonzero pressure, observational constraints on the inhomogeneity scale, and the big-crunch and light-trapping fate

    未解决约 14 年
现代电子显微学尚未解决的问题2 个问题
  1. Reliable in-situ nanorobotic manipulation, probing, and integrated measurement and fabrication of nanostructures inside the scanning electron microscope

    未解决约 22 年
  2. Deterministic atom-by-atom fabrication with the electron beam of an aberration-corrected scanning transmission electron microscope

    未解决约 8 年
线守恒(line conservation)4 个问题
  1. Matrix product ansatz for the eight-vertex model and the XYZ spin chain

    未解决约 20 年
  2. Exact spectrum of the dilute oriented loop model: general branching rules into dense SU(n+1) modules and mixed-parity scaling dimensions

    未解决约 10 年
  3. Limit shapes and metastability in the bounded 15-vertex model with non-domain-wall boundary conditions

    未解决约 8 年
  4. Yang-Baxter algebra of the n-state mixed vertex model with the line-conservation constraint on the square lattice

    未解决约 2 年
相对论核多体问题中的pp和ph相互作用能否统一4 个问题
  1. Consistent pairing channel and retardation effects in relativistic Hartree-Fock-Bogoliubov theory with density-dependent meson-nucleon couplings

    未解决约 16 年
  2. Coupled self-consistent treatment of induced-interaction vertex corrections and self-energy effects in the proton 1S0^1S_0 pairing gap of neutron-star matter

    未解决约 7 年
  3. Quantitative microscopic consistency of the 1S0^1S_0 pairing gap in finite nuclei from chiral pion-nucleon dynamics: medium-polarization (induced-interaction) corrections, particle-hole/particle-particle effective-mass consistency, and missing collective correlations

    未解决约 14 年
  4. Consistent many-body calculation of the 1S0{}^{1}S_{0} pairing gap and superfluid transition temperature of neutron matter: screening beyond the Landau approximation, induced three-neutron forces, and self-energy effects

    未解决约 8 年
相对论量子信息3 个问题
  1. Constructing the spacetime-local update maps ΨS\Psi_S of the polyperspective formalism for concrete physical systems (detectors, quantum fields, curved spacetimes)

    未解决约 1 年
  2. Energy accounting of relativistic quantum communication: generality of the vanishing communication-specific energy cost and the particle-creation contribution in dynamical spacetimes

    未解决约 4 年
  3. Resource costs of unconstrained summoning: efficient protocols, lower bounds, and the quantum-versus-classical token comparison

    未解决约 8 年
相对论平均场理论中引入交换项会带来什么新物理?7 个问题
  1. The fourth-order symmetry energy S4(ρ)S_4(\rho) of neutron-rich nuclear matter: exchange-channel structure across covariant density functionals, kinetic short-range-correlation content, and neutron-star crust consequences

    未解决约 8 年
  2. Microscopic magnitude and density dependence of the in-medium screened pion tensor force in relativistic Hartree-Fock energy functionals

    未解决约 12 年
  3. Charge symmetry breaking from ω\omega-ρ0\rho^0 mixing in covariant density functional theory: exchange terms, density dependence, EDF mapping, and the hypernuclear extension

    未解决约 1 年
  4. Completing deformed relativistic Hartree-Fock-Bogoliubov theory: tensor couplings in shell evolution and beyond-mean-field correlations with explicit Fock terms

    未解决约 15 年
  5. Unquantified meson retardation and rho-tensor correlations in relativistic Hartree-Fock compact-star matter, and their joint treatment with hyperon/Delta exchange contributions to the equation of state, maximum masses, and direct-Urca thresholds

    未解决约 17 年
  6. Self-consistent tensor-force constraints in the relativistic Hartree-Fock theory: RHF + particle-vibration coupling and the global strength of the pion-exchange tensor

    未解决约 5 年
  7. Determining the isovector-scalar channel of the relativistic spin-orbit interaction from single-particle data

    未解决约 10 年
象限配分函数4 个问题
  1. Three-dimensional integrability for the multispecies ASEP: a tetrahedron-equation route to the Zamolodchikov–Faddeev algebra and the Macdonald connection

  2. Orthogonality of the dual symmetric functions of the half-space six-vertex model (Conjecture 5.5 of Garbali–de Gier–Mead–Wheeler)

  3. Direct asymptotic analysis of coloured stochastic vertex models via their Plancherel spectral theory, and extension of the coloured formalism

  4. Rigorous corner transfer matrix-Virasoro character correspondence for Yang-Baxter integrable models, and unusual corrections to scaling for valence bond entanglement in massive spin chains

信息处理的物理极限与量子热力学9 个问题
  1. Quantum-statistics, degeneracy, asymmetric-insertion, and non-quasistatic extensions of the demonless quantum Szilard engine

    未解决约 7 年
  2. Thermodynamic uncertainty relation and efficiency–constancy bounds for periodically driven quantum heat engines beyond the slow-driving, weak-coupling regime

    未解决约 5 年
  3. Combined second-law accounting for discrete quantum feedback control: minimum controller work cost

    未解决约 18 年
  4. Extending the rigorous efficiency-versus-time trade-off for cyclic quantum heat engines to non-lattice baths and baths with divergent heat capacity

    未解决约 9 年
  5. Minimal excess thermodynamic cost of quantum operations: tightness, attainability, and the exceptional spectral-symmetry cases

    未解决约 10 年
  6. Rigorous minimal-work bounds for reliable information-bearing switches and memories as a function of error probability and temperature

    未解决约 13 年
  7. Completing the thermodynamic theory of the pointer-measurement quantum engine: strong-interrogation dynamics, measurement-cost accounting, and physical realization

    未解决约 7 年
  8. Pareto trade-offs of finite-time quantum information engines with the energetic and temporal costs of classical meter readout and reset included

    未解决约 1 年
  9. Tightness and attainability of the Landauer erasure bound in the quantum regime under finite time, finite-size baths, and non-Markovian or nonequilibrium environments

    未解决约 24 年
星—三角变换(star–triangle transformation)3 个问题
  1. Determining the zero-temperature exponents of the two-dimensional Ising spin glass from the iterated star-triangle evolution

    未解决约 5 年
  2. Exact spectrum of the Floquet evolution operator of star-triangle integrable quantum circuits

    未解决约 3 年
  3. Full resummation of the direct triangular block condition for the symmetric-group permutation model

    未解决不足 1 年
星系的形成和演化6 个问题
  1. Distinguishing early dark energy from baryonic physics as the origin of the JWST high-redshift galaxy excesses

    未解决约 4 年
  2. Cold-stream survival, additional physics, and angular-momentum delivery from the circumgalactic medium to galaxies

    未解决不足 1 年
  3. Robustly mapping simulated cold gas accretion onto quasar absorption-line observations: end-to-end synthetic spectra and quantitative confrontation with the z ≈ 0.2 corotation observations

    未解决约 7 年
  4. Making the circumgalactic-atmosphere regulator framework quantitative: contraction-triggered black-hole feedback, stability of contracted atmospheres, total feedback-energy measurement, phase-plane diagnostics, and the redshift evolution of the star-formation-efficiency peak

    未解决约 2 年
  5. Making the Milky Way's merger-driven three-phase formation picture definitive: temporal ordering of the disk phases, universality of the chemical bimodality, and simulation tests of the Gaia-Sausage-Enceladus scenario

    未解决约 2 年
  6. The physical origin of stellar bars at redshifts z>2z > 2: formation conditions and reproduction in cosmological simulations

    未解决约 2 年
星系核心黑洞的形成和演化5 个问题
  1. Cosmic evolution and physical origin of the supermassive black hole–host galaxy scaling relations: what sets their zero point and scatter

    未解决约 26 年
  2. Intrinsic evolution of the MBHM_{\rm BH}–σ∗\sigma_\ast relation at intermediate redshift, or a non-evolving MBHM_{\rm BH}–M∗M_\ast coupling: which host property fundamentally couples to supermassive black hole mass?

    未解决约 21 年
  3. Formation and early growth of the first massive black holes: the z=8.50z=8.50 UNCOVER broad-line AGN and the faint red AGN population at z>7z>7

    未解决约 25 年
  4. Physical validation of the central-molecular-cloud-fed growth scenario for supermassive black holes: origin and gigayear persistence of the quasi-universal CMC parameters

    未解决约 1 年
  5. Did supermassive black holes form by direct collapse? The conditions, incidence, seed masses, and observational signatures of the direct-collapse channel

    未解决约 20 年
行列式表示2 个问题
  1. Absolute normalization and completion of the determinant representation for scalar products of Bethe vectors in the 8-vertex model

    未解决约 45 年
  2. Fisher–Hartwig and degenerate-border asymptotics of bordered Toeplitz determinants: the critical and high-temperature next-to-diagonal Ising correlations

行转移矩阵(row-to-row transfer matrix)2 个问题
  1. Generalized R-matrix (quantum inverse scattering) formulation of the Alcaraz-Lazo interacting vertex models and vertex-model realizations of hard-core integrable chains

    未解决约 19 年
  2. Yang–Baxter integrability of the 3D quantum crystal-melting model: Boltzmann weights, commuting transfer matrices for the Kagome lattice, and reconstruction from integrable descendant vertex models

    未解决约 18 年
形变原子核中的晕现象7 个问题
  1. Constructing the full next-to-leading-order Hamiltonian of the short-range effective theory for single-neutron halo nuclei with a deformed core (11^{11}Be and 17^{17}C)

    未解决不足 1 年
  2. Nuclear magnetism in weakly bound deformed nuclei: robustness of the time-odd unbound-to-bound mechanism in 31^{31}Ne and its global consequences for exotic nuclei

    未解决约 2 年
  3. Experimental test of the predicted triaxial one-neutron pp-wave halos in 40,42^{40,42}Al from reaction observables

    未解决约 3 年
  4. Threshold soft E1E1 strength of the deformed halo nuclei 31^{31}Ne and 37^{37}Mg: experimental extraction and microscopic continuum theory for configuration and deformation assignment

    未解决约 16 年
  5. Establishing the deformation-driven two-neutron halo mechanism at the fluorine neutron drip line: 29^{29}F and 31^{31}F

    未解决约 5 年
  6. Systematic chart-wide assessment of triaxial-deformation effects on nuclear halo formation in neutron-rich nuclei

    未解决约 5 年
  7. Do deformation-enabled neutron halos exist in nuclei heavier than 37^{37}Mg? The near-N=50N=50 candidates 71,73,75^{71,73,75}Cr and 77^{77}Fe, and the lighter candidate 53^{53}Ar

    未解决约 9 年
寻找胶子球4 个问题
  1. Glueball–flavour-singlet-meson mixing in Nf=1N_f=1 QCD

    未解决约 19 年
  2. Quantitative decay phenomenology of the lightest vector glueball: absolute widths, quarkonium mixing, and robustness of the predicted branching-ratio hierarchy

    未解决约 10 年
  3. The composition of the scalar mesons near 1.7 GeV: are a0(1710)a_0(1710) and f0(1710)f_0(1710) conventional quark–antiquark states, and does f0(1710)f_0(1710) contain the lightest glueball?

    未解决约 30 年
  4. Light isoscalar tensor mesons: the f2(1810)/f2(1950) puzzle and the identification of the 2++ glueball

    未解决约 14 年
亚表面成像的扫描探针声显微技术4 个问题
  1. Applicability envelope and mode-design rules for multifrequency AFM subsurface imaging: scaling of contrast and lateral resolution with overlayer thickness and matrix modulus

    未解决约 10 年
  2. Quantitative, depth-controlled subsurface compositional mapping of soft matter by trimodal (multifrequency) atomic force microscopy

    未解决约 12 年
  3. Quantitative reconstruction of deeply buried features from scattering-contrast GHz-ultrasound subsurface atomic force microscopy

    未解决约 6 年
  4. Quantitative detection physics, sensitivity limits, and calibration of thickness resonance acoustic microscopy (SNTRAM) for subsurface nanometrology

    未解决约 9 年
幺正性与 crossing symmetry4 个问题
  1. Crossing-symmetric dual S-matrix bootstrap and analytic cross-section bounds in d>2d>2: can manifestly crossing-symmetric dispersion relations yield rigorous (possibly stronger-than-Froissart) bounds?

  2. Physical realizability of two-particle quasi-elastic (2QE) amplitudes under full multi-particle unitarity

  3. Exact-unitarity dual formulation of the 3+1-dimensional S-matrix bootstrap: closing the primal-dual duality gap and the Karplus double-discontinuity domain

  4. Crossing symmetry and entanglement beyond massive 2→22\to2 SU(N)SU(N) scattering: gapless theories, higher-point amplitudes, unequal internal spaces, and further quantum resources

一般 hard-square 未解问题2 个问题
  1. Completing the high-activity rod expansion of the hard-square lattice gas: the exact O(z−2)O(z^{-2}) three-rod term, convergence control, and the three-dimensional hard-cube extension

  2. Explicit convergence constants and higher-dimensional extensions for hard-square strip-entropy approximation

一般 Ising 模型3 个问题
  1. Complexity classification of the complex-valued Ising model on bounded-degree graphs in the intermediate annulus

    未解决约 5 年
  2. D-finiteness and exact solvability of the three-dimensional Ising partition function: the Guttmann–Enting non-solvability conjecture and the joint satisfiability of the six necessary conditions

    未解决约 30 年
  3. Determining the asymptotic relaxation and mixing times of the worm process for the Ising model on critical boxes in Z3\mathbb{Z}^3

    未解决约 11 年
一个宇宙学的全息理论10 个问题
  1. An exact holographic dual of de Sitter space: existence, identity, and consistency

    未解决约 25 年
  2. Microscopic foundation of the holographic-equipartition law for the emergence and expansion of cosmic space

    未解决约 14 年
  3. Exact perturbation spectra, reheating history, and the ultraviolet cutoff of holographic inflation (Nojiri–Odintsov–Saridakis model)

    未解决约 7 年
  4. First-principles replica-path-integral derivation of the bilayer entropy prescription and the two-screen holographic encoding of closed FRW cosmologies

    未解决约 2 年
  5. Foundational open issues in holographic cyclic cosmology: the future-event-horizon infrared cutoff, the Come Back Empty hypothesis, and observational consistency

    未解决约 7 年
  6. Holographic dual of FRW cosmologies from magnetic-flavor uplifts of AdS/CFT: microscopic junction-state counting and the time-dependent cutoff field theory

    未解决约 15 年
  7. Open defining structure of the holographic theory for general spacetimes: Hilbert-space organization, the strengthened covariant entropy bound, and state selection

    未解决约 9 年
  8. Necessity and first-principles boundary formulation of the Lorentzian (vev-reality) classicality condition in dS/CFT

    未解决约 10 年
  9. Completing the holographic realization of braneworld cosmology with end-of-the-world branes: realistic expansion, gravity localization beyond the adiabatic approximation, CFT observables behind the horizon, stable top-down realizations, and quantum simulation

    未解决约 7 年
  10. Robustness of apparent-horizon area quantization and entropy-area scaling from quantum cosmology beyond the closed-FLRW radiation/dust minisuperspace

    未解决约 11 年
一维 Ising 关联函数2 个问题
  1. Analytic origin of the Fisher–Huse autocorrelation exponents in the one-dimensional long-range Ising model

    未解决约 7 年
  2. Exact two-time correlation and response functions of the 1D Glauber-Ising model on the finite-length semi-open chain

    未解决不足 1 年
一维 Ising 模型1 个问题
  1. Uniqueness versus multiplicity of low-temperature Gibbs states for the one-dimensional long-range Ising ferromagnet under structured external fields

    未解决约 19 年
一维 Ising 自由能与磁化2 个问题
  1. Exact fixed-magnetization partition functions and Helmholtz fluctuation-induced forces beyond one dimension and beyond the Gaussian fixed point

    未解决约 4 年
  2. An explicit injective mapping between magnetization sectors at fixed energy in the one-dimensional Ising chain

    未解决不足 1 年
一维量子自旋链系统在任意边界磁场中的严格解3 个问题
  1. Exact solutions and thermodynamics of higher-rank D-series quantum spin chains with generic non-diagonal integrable boundary fields

    未解决约 21 年
  2. Single-sum basic-hypergeometric form for the general higher-spin six-vertex K-matrix elements

    未解决约 7 年
  3. Exact thermodynamic limit of the open one-dimensional Hubbard chain with boundary magnetic fields away from half filling

    未解决约 12 年
一维配置和(one-dimensional configuration sums)3 个问题
  1. A direct bijective proof of the odd/even minimal-excludant equidistribution with sqrank and rerank, and a succinct partition statistic for p2,2(n)p_{2,2}(n)

  2. Generalized Rogers–Ramanujan identities for level-two string functions of simply laced Lie algebras: exceptional and Dynkin-index-two sectors, generalized Slater identities, and the RSOS lattice-model derivation

  3. Theta-quotient complexity, odd levels, and singular specializations in the double-sum evaluation of A1(1)A_1^{(1)} string functions at arbitrary integral levels

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