Journal of Mathematical Physics

Papers
(The median citation count of Journal of Mathematical Physics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
Semiclassical perturbations of single-degree–of–freedom Hamiltonian systems I: Separatrix splitting60
Degenerate response tori in Hamiltonian systems with higher zero-average perturbation49
Existence of normalized solutions to Kirchhoff–Choquard equation with critical Sobolev perturbation42
Minimal wave speed for a two-group epidemic model with nonlocal dispersal and spatial-temporal delay42
Self-intersection local time derivative for systems of non-linear stochastic heat equations39
V-shaped traveling fronts of fractional Allen–Cahn equations30
Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz–Minkowski plane R1229
Embedding of rank two supercharges in the superconformal algebra27
Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping23
Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasi-periodic M(2,C) cocycles22
The rational Sklyanin algebra and the Wilson and para-Racah polynomials21
Two types of Witten zeta functions20
Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces20
Solutions to a generalized Chern–Simons Higgs model on finite graphs by topological degree20
Asymptotic behavior of a generalized independent sets model on the two-dimensional Sierpinski gasket20
Various variational approximations of quantum dynamics20
Decay of correlations in the monomer-dimer model19
A constrained variational problem for an existence theorem of steady vortex rings in Poiseuille flow19
Conformal r-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and ON-structures19
Lagrange stability for asymptotic linear Duffing equations19
Effect of water depth on Kelvin–Helmholtz instability in a shallow water flow18
Big-bang limit of 2 + 1 gravity and Thurston boundary of Teichmüller space18
Discrete shallow water equations preserving symmetries and conservation laws18
Random attractors for stochastic discrete complex Ginzburg–Landau equations with long-range interactions18
Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data18
Computational explorations of a deformed fuzzy sphere18
On the regularity of weak solutions of the MHD equations in BMO 1 and Ḃ∞,∞−117
An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces16
Quasinormal modes of small Schwarzschild–de Sitter black holes16
s l 2 -Harish-Chandra modules for sl2⋉L(4)15
Foundations for Bayesian inference with engineered likelihood functions for robust amplitude estimation15
Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth15
Mutual averaged non-commutativity of quantum operator algebras15
On the extension of the FKG inequality to n functions15
Quantum tomographic Aubry–Mather theory14
Strongly global topological equivalence on time scales14
Edge currents for the time-fractional, half-plane, Schrödinger equation with constant magnetic field14
Monotonic multi-state quantum f-divergences14
A new class of approximate analytical solutions of the Pridmore-Brown equation14
Invariant curves for non-twist quasi-periodic reversible mappings with its application13
Normal forms of C vector fields based on the renormalization group13
Chaos for one-dimensional linear hyperbolic partial differential equations with variable coefficients13
Linear criterion for an upper bound on the Bardeen-Cooper-Schrieffer critical temperature13
The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems13
Hebbian learning from first principles13
Cucker–Smale type flocking models on a sphere13
The Vladimirov operator with variable coefficients on finite adeles and the Feynman formulas for the Schrödinger equation13
Wigner’s theorem for stabilizer states and quantum designs13
Homotopy double copy and the Kawai–Lewellen–Tye relations for the non-abelian and tensor Navier–Stokes equations13
On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies12
The uniform measure for quantum walk on hypercube: A quantum Bernoulli noises approach12
Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals12
Ground state energy of the low density Bose gas with three-body interactions12
Planar central configurations with five different positive masses12
On Doob h-transformations for finite-time quantum state reduction12
Compositional quantum field theory: An axiomatic presentation12
Critical exponent to a cancer invasion model with nonlinear diffusion12
Defining geometric gauge theory to accommodate particles, continua, and fields12
Exact gauge fields from anti-de Sitter space12
Minimally superintegrable systems in flat three-dimensional space are also linearizable11
Detonation wave solutions to the scalar combustion models with a singular source term11
Asymptotic stability of the 2D MHD equations without resistivity on a flat strip domain11
Eigenvalues of the Dirac operator on compact spin manifolds under Ricci flow11
From bending of light to positive mass: A non-PDE perspective11
General theory of the higher-order linear quaternion q-difference equations through the quaternion determinant algorithm and the characteristic polynomial11
New directions in disordered systems: A conference in honor of Abel Klein11
Stochastic flocking dynamics of the Cucker–Smale model driven by Lévy noise11
Coherent states of systems with pure continuous energy spectra11
Mehler–Fock transforms and retarded radiative Green functions in hyperbolic and spherical spaces10
Martingale solutions and invariant measures for stochastic fractional Navier–Stokes equations on unbounded 3 dimension domains10
Global unique solutions to the three dimensional incompressible inhomogeneous asymmetric fluids10
Quantum Riemannian geometry of the discrete interval and q-deformation10
One-dimensional Schrödinger operator with decaying white noise potential10
Derivation of Vlasov equations for multi-species fermions10
Drinfeld realization of the centrally extended psl(2|2) Yangian algebra with the manifest coproducts10
Nonautonomous k-contact field theories10
Asymptotic stability of the rarefaction wave for the inflow problem of the bipolar compressible Navier–Stokes–Poisson system with large initial perturbation10
Global well-posedness and decay estimates to the 3D Cauchy problem of nonhomogeneous magneto-micropolar fluid equations with vacuum10
Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in L p-based Sobolev spaces10
Asymptotic flocking dynamics of a relativistic Cucker–Smale flock under singular communications10
A regularity criterion for the 3D generalized MHD system involving partial components10
Quantum and classical dynamical semigroups of superchannels and semicausal channels10
Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials10
Synchronization of a Kuramoto type model in a dynamic network9
Asymptotics of the smallest eigenvalue distributions of Freud unitary ensembles9
Global well-posedness for two-phase fluid motion in the Oberbeck–Boussinesq approximation9
The estimates of the ill-posedness index of the (deformed-) continuous Heisenberg spin equation9
Relating incompatibility, noncommutativity, uncertainty, and Kirkwood–Dirac nonclassicality9
Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies9
Emergence of boundary conditions in the heat equation9
Quantized point vortex equilibria in a one-way interaction model with a Liouville-type background vorticity on a curved torus9
Radiation in the black hole–plasma system: Propagation in equatorial plane9
Local spin base invariance from a global differential–geometrical point of view9
Group foliations of the β-plane barotropic vorticity equation9
Formation of delta shock and vacuum state for the pressureless hydrodynamic model under the small disturbance of traffic pressure9
Uniform continuity bound for sandwiched Rényi conditional entropy9
Maxwell’s and Stokes’s operators associated with elliptic differential complexes9
Information theoretic measures in one-dimensional Dunkl oscillator9
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups9
Vanishing viscosity limit for concentrated vortex rings9
Critical fluctuations in renewal models of statistical mechanics9
Asymptotic stability in a quasilinear single-species chemotaxis system with one stimulus9
Local Noether theorem for quantum lattice systems and topological invariants of gapped states9
Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system9
The two dimensional gas expansion problem of the Euler equations for a class of pressure laws9
An Abramov-Rokhlin type theorem for induced topological pressure9
NSR singular vectors from Uglov polynomials9
Stability of the planar rarefaction wave to three-dimensional full compressible Navier–Stokes–Poisson system8
Relative magnetic helicity under turbulent relaxation8
Local uniqueness for the multi-bump solutions to the problem of Ambrosetti–Prodi type8
Relations between moments for the Jacobi and Cauchy random matrix ensembles8
Slightly compressible Forchheimer flows in rotating porous media8
Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov–Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (20188
Generalized geometric criteria for the absence of effective many-body interactions in the Asakura–Oosawa model8
Constraints of the teleparallel equivalent of general relativity in a gauge8
Dimensional reduction of electromagnetism8
Some Liouville-type theorems for the stationary density-dependent Navier–Stokes equations8
Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity8
U ( h ) -free modules over the super-Galilean conformal algebras8
Uniform attractors for reaction–diffusion equations with a larger class of external forces8
Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions8
Radiation reaction in higher-order electrodynamics8
Anomaly cancellation in the lattice effective electroweak theory8
Partially regular weak solutions to the fractional Navier–Stokes equations with the critical dissipation8
Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons8
The stationary distribution and density function of a stochastic SIRB cholera model with Ornstein–Uhlenbeck process8
Local Marchenko–Pastur law at the hard edge of the sample covariance ensemble8
The Robin problem on rectangles8
Analytic structure of the associated Legendre functions of the second kind8
Nonlocal combined nonlinear Schrödinger–Gerdjikov–Ivanov model: Integrability, Riemann–Hilbert problem with simple and double poles, Cauchy problem with step-like initial data8
An inverse nodal problem for a fourth-order self-adjoint binomial operator8
Realizability of the rapid distortion theory spectrum: The mechanism behind the Kelvin–Townsend equations8
Lower and upper bounds of decay to the d-dimensional magneto-micropolar equations8
Representations of toroidal and full toroidal Lie algebras over polynomial algebras8
Erratum: “The quantum α-Rényi divergence of real order” [J. Math. Phys. 63, 072203 (2022)]8
Dubrovin–Frobenius manifold structures on the orbit space of the symmetric group8
Generating spacetimes from colliding sources8
A new criterion and the limit of blowup solutions for a generalized Davey–Stewartson system8
Non-existence of classical solutions with finite energy to the Cauchy problem of the Navier–Stokes–Korteweg equations7
Soft quantum waveguides in three dimensions7
On the multiplicity and concentration of positive solutions to a Kirchhoff-type problem with competing potentials7
Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds7
Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on Zd7
Splitting expression of solution for stochastic Nicholson’s blowflies equation with diffusion7
Navier–Stokes–Cahn–Hilliard system of equations7
Intertwiners of representations of untwisted quantum affine algebras and Yangians revisited7
Non-uniform dependence on initial data for the 2D MHD-Boussinesq equations7
From charge to spin: Analogies and differences in quantum transport coefficients7
A geometric formulation of Schaefer’s theory of Cosserat solids7
Almost synchronous quantum correlations7
Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds7
Winding number statistics for chiral random matrices: Averaging ratios of determinants with parametric dependence7
Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions7
Light propagation in a plasma on an axially symmetric and stationary spacetime: Separability of the Hamilton–Jacobi equation and shadow7
Sharp complexity asymptotics and topological trivialization for the (p, k) spiked tensor model7
The multicomponent generalization for the super modified KP hierarchy of Kac–van de Leur7
Zero-Hopf bifurcation in the Chua’s circuit7
Asymptotic behavior for a semilinear Bresse system with variable coefficients and locally distributed nonlinear dissipation7
A modified local Weyl law and spectral comparison results for δ′-coupling conditions7
Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems7
Intertwiners of representations of twisted quantum affine algebras7
Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities6
The localization of quantum random walks on Sierpinski gaskets6
The strong Gauss–Lucas theorem and analyticity of correlation functions via the Lee–Yang theorem6
Lax integrability and nonlinear dispersive wave phenomenon for the (3 + 1) dimensional Kudryashov–Sinelshchikov equation6
An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform6
Exact internal waves in the presence of mean currents and rotation6
Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality6
Topological insulators and K-theory6
Large deviations, central limit, and dynamical phase transitions in the atom maser6
Mixed state representability of entropy-density pairs6
Spin(11, 3), particles, and octonions6
Thermodynamic limit for the magnetic uniform electron gas and representability of density-current pairs6
Symmetric Fermi projections and Kitaev’s table: Topological phases of matter in low dimensions6
Deviation inequalities for the elephant random walk with random step sizes6
A dualization approach to the ground state subspace classification of abelian higher gauge symmetry models6
Systems of second order differential equations as auto-parallel equations6
Intrinsic properties of the chaotic Rulkov model6
On double-phase problems without any growth and Ambrosetti–Rabinowitz conditions6
Combined effects of concave and convex nonlinearities for the generalized Chern–Simons–Schrödinger systems with steep potential well and 1 < p < 2 < q < 66
Asymptotics for the semi-dissipative 2D Boussinesq system6
Complex absorbing potential method for Stark resonances6
Exactly solvable complex PT symmetry potential A[sech(λx) + i tanh(λx)]6
Ising percolation in the hyperbolic plane6
Central limit theorem of overlap for the mean field Ghatak–Sherrington model6
Blow-up issues and peakons for a two-component high-order Fokas–Olver–Rosenau–Qiao system6
Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (xd)2] and its dual single well potential VS(x) = max[(x6
Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes6
Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type6
Some uncertainty principles for the quaternion Heisenberg group6
The scaling limit of boundary spin correlations in non-integrable Ising models6
The asymptotic infinitesimal distribution of a real Wishart random matrix6
U(1)n Chern–Simons theory: Partition function, reciprocity formula and Chern–Simons duality6
Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants6
Monotonicity and nonexistence for nonnegative solutions to pseudo-relativistic parabolic equation6
Estimation of decay rates to large-solutions of 3D compressible magnetohydrodynamic system6
Asymptotic behavior of stochastic susceptible-infectious-quarantined-susceptible epidemic model driven by Lévy noise6
Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications6
New asymptotically flat static vacuum metrics with near Euclidean boundary data6
Bohm potential for the time dependent harmonic oscillator6
Generalized spin-boson models with non-normalizable form factors6
Conjugate variables approach tomixedq-Araki–Woods algebras: Factoriality and non-injectivity6
Winding number statistics for chiral random matrices: Averaging ratios of parametric determinants in the orthogonal case6
Weak/stable solutions to p-Kirchhoff equation: Only-zero or non-existence6
Boundary ferromagnetism in zigzag edged graphene6
Next-order correction to the Dirac exchange energy of the free electron gas in the thermodynamic limit and generalized gradient approximations6
Uniqueness and absence of percolation of classical gases6
Hearing shapes viap-adic Laplacians6
On representations of the centrally extended Heisenberg double of SL26
Phase space Schrödinger equation and quadratic friction6
The log-Sobolev inequality for spin systems with higher order interactions6
Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data6
Two-dimensional Lifshitz-like AdS black holes in F(R) gravity6
Chaotic behavior in billiards6
The N-soliton solution to the higher-order nonlinear Schrödinger–Maxwell–Bloch system via the Riemann–Hilbert approach6
Reservoirs, Fick law, and the Darken effect5
Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field5
Two classes of Lie conformal superalgebras related to the Heisenberg–Virasoro Lie conformal algebra5
Kagome network with vertex coupling of a preferred orientation5
Symmetric ordering and Weyl realizations for quantum Minkowski spaces5
On higher deformed Calogero–Sutherland Hamiltonians5
Topological applications of p-adic divergence and gradient operators5
Long-time dynamics of ternary mixtures with localized dissipation5
Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles5
Inhomogeneous coupled non-linear Schrödinger systems5
Heun operator of Lie type and the modified algebraic Bethe ansatz5
Multiple mixed interior and boundary peaks synchronized solutions for nonlinear coupled elliptic systems5
Super fiber bundles, connection forms, and parallel transport5
Nonhydrostatic internal waves in the presence of mean currents and rotation5
Publisher’s Note: “Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth5
Emission of spacetime waves from the partial collapse of a compact object5
Quasi-factorization and multiplicative comparison of subalgebra-relative entropy5
Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R5
Hadamard states for bosonic quantum field theory on globally hyperbolic spacetimes5
A high-genus asymptotic expansion of Weil–Petersson volume polynomials5
Momentum approach to the 1/r2 potential as a toy model of the Wilsonian renormalization5
Hypergraph min-cuts from quantum entropies5
Interior spacetimes sourced by stationary differentially rotating irrotational cylindrical fluids. Perfect fluids5
The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins5
Reduction of singularities in Fuchsian equations, and Heun equations for perturbations of Kerr–Newman–de Sitter and anti-de sitter spacetimes5
Normalized ground states for fractional Kirchhoff equations with Sobolev critical exponent and mixed nonlinearities5
Effective splitting of invariant measures for a stochastic reaction diffusion equation with multiplicative noise5
Decimations for one- and two-dimensional Ising and rotator models. II. Continuous vs discrete symmetries5
Strong traveling wave solutions for a nonlocal diffusive susceptible–infectious–recovered model with spatiotemporal delay5
Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory5
Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold5
Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function5
Integrable classes of a family of evolution equations5
Classical restrictions of generic matrix product states are quasi-locally Gibbsian5
A singular linear statistic for a perturbed LUE and the Hankel matrices5
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