All Stories

  1. Soviet internationalism as a strange attractor: the bounded chaos of cultural and national identity
  2. Four-parametric generalization of the second Demkov-Kunike two-state model
  3. Harmony in Flux: the Babajanian—Rozhdestvensky—Magomayev Triad and the Strange Attractor of Soviet Internationalism
  4. Spin-2 Particle in Coulomb Field: Non-Relativistic Approximation
  5. Governing AI across borders: corporate power, state sovereignty and global regulation
  6. The sovereignty-internationalism paradox in AI governance: digital federalism and global algorithmic control
  7. Tragic symbolism in Soviet Armenian visual art: The legacy of Valentin Podpomogov
  8. Fourier–Bessel Series Solutions of the Axisymmetrical Grad–Shafranov Equation for Plasma Confinement
  9. Two-term Kummer function solutions of the 1D Schrödinger equation
  10. Nonrelativistic Approximation in the Theory of a Spin-2 Particle with Anomalous Magnetic Moment
  11. Reverse-Engineered Exact Control of Population Transfer in Lossy Nonlinear Three-State Systems
  12. A New Quadratic Transformation Identity for the Confluent Heun Function
  13. Examining the Mathematica algorithm for general Heun function calculation: a comparative analysis
  14. A quadratic transformation for a special confluent Heun function
  15. Klein–Gordon Potentials Solvable in Terms of the General Heun Functions
  16. On the Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients. The Principle of the Limiting Amplitude
  17. Massless spin-2 field solutions with spherical symmetry: Eliminating gauge degrees of freedom
  18. Non-relativistic approximation in the Pauli–Fierz theory for a spin 3/2 particle in the presence of external fields
  19. The Maslov index for composite power-law potentials: The case of the first Exton potential
  20. Asymmetric Version of the Second Demkov–Kunike Level-Crossing Model
  21. Solutions of a Confluent Modification of the General Heun Equation in Terms of Generalized Hypergeometric Functions
  22. A Conditionally Exactly Solvable 1D Dirac Pseudoscalar Interaction Potential
  23. Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law
  24. Conditionally exactly solvable Dirac potential, including x^1/3 pseudoscalar interaction
  25. A New Non-Symmetric Modification of the Second Demkov–Kunike Model
  26. The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution
  27. Analytical Description of Cyclotron Plasma Resonances in Monolayer Graphene
  28. Qualitative Consideration of the Scharnhorst Effect
  29. Calculation of the Photorecombination Spectrum when Atoms Irradiated by a Strong Laser Field Based on the Markov Approximation
  30. Analytical Solution of the Three-Dimensional Laplace Equation in Terms of Linear Combinations of Hypergeometric Functions
  31. Generalized-hypergeometric solutions of the biconfluent Heun equation
  32. A New Level-Crossing Two-State Model Solvable in Terms of Hypergeometric Functions
  33. The Phonon Heat Capacity of Small Dielectric Crystals at Low Temperatures
  34. Fractional derivative method for describing solitons on the surface of deep water
  35. A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
  36. From Heun Class Equations to Painlevé Equations
  37. Van der Waals Attraction of Hydrogen Atoms
  38. The Markoff approximation for high harmonic generation during laser–atom interaction
  39. Inverse-root and inverse-root-exponential potentials: Darboux transformations and elementary Darboux partners
  40. The eigenvalue problem of one-dimensional Dirac operator
  41. Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
  42. Inverse square root level-crossing quantum two-state model
  43. Exact solution of the 1D Dirac equation for the inverse-square-root potential 1/x$1/\sqrt{x}$
  44. Comment on the paper “Third-harmonic generation investigated by a short-range bottomless exponential potential well” by M. Hu, K. Guo, Q. Yu, Z. Zhang [Superlattices and Microstructures, 122 (2018) 538–547]
  45. Hermite function solutions of the Schrödinger equation for the sextic oscillator
  46. Comments on the “Second-Harmonic Generation Investigated by Topless Potential Well With Inverse Square Root”
  47. On the Derivatives of the Heun Functions
  48. Exactly-Solvable Quantum Systems in Terms of Lambert-W Functions
  49. Generalized Hypergeometric Solutions of the Heun Equation
  50. Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
  51. Generalized-Hypergeometric Solutions of the General Fuchsian Linear ODE Having Five Regular Singularities
  52. The second Exton potential for the Schrödinger equation
  53. Exact solutions of the sextic oscillator from the bi-confluent Heun equation
  54. WKB-approach for the 1D hydrogen atom
  55. A Lambert-W Exactly Solvable Level-Crossing Confluent Hypergeometric Two-State Model
  56. SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS
  57. Generalized confluent hypergeometric solutions of the Heun confluent equation
  58. Low-frequency electromagnetic radiation of hydrogen molecular gas: effect of the ortho-para conversion
  59. Two-dimensional Dirac fermion in presence of an asymmetric vector potential
  60. A Schrödinger Potential Conditionally Integrable in Terms of the Hermite Functions
  61. The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential
  62. Bi-Confluent Heun Potentials for a Stationary Relativistic Wave Equation for a Spinless Particle
  63. Uncertainty Relation for the Radial Momentum and Radial Coordinate in the Coulomb Potential
  64. Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients
  65. Dissociation of Quarkonium in a Strong Electric Field
  66. Appell Hypergeometric Expansions of the Solutions of the General Heun Equation
  67. Accurate Treatment of Tunnel Ionization, Induced by a Constant Electric Field, From a Power-Law Singular Potential
  68. A Conditionally Integrable Bi-confluent Heun Potential Involving Inverse Square Root and Centrifugal Barrier Terms
  69. A new exactly integrable hypergeometric potential for the Schrödinger equation
  70. Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity
  71. A conditionally integrable Schrödinger potential of a bi-confluent Heun class
  72. Schrödinger potentials solvable in terms of the general Heun functions
  73. Nonlinear Stimulated Raman Exact Passage by Resonance-Locked Inverse Engineering
  74. Two-state model of a general Heun class with periodic level-crossings
  75. Solutions of the bi-confluent Heun equation in terms of the Hermite functions
  76. Semiclassical rates for tunnel ionization from power-law potentials induced by a constant or low-frequency electric field
  77. Maslov index for power-law potentials
  78. Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities
  79. Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
  80. A conditionally exactly solvable generalization of the inverse square root potential
  81. A singular Lambert-W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions
  82. Discretization of Natanzon potentials
  83. Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions
  84. Schrödinger potentials solvable in terms of the confluent Heun functions
  85. The third exactly solvable hypergeometric quantum-mechanical potential
  86. Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation
  87. The Lambert-W step-potential – an exactly solvable confluent hypergeometric potential
  88. Dirac–Kähler particle in Riemann spherical space: boson interpretation
  89. Exact solution of the Schrödinger equation for the inverse square root potential $V_{0} /\sqrt{x}$
  90. Non-exponential Auger decay
  91. Analytic solutions of the quantum two-state problem in terms of the double, bi- and triconfluent Heun functions
  92. Adiabatic asymmetric scattering of atoms in the field of a standing wave
  93. Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions
  94. Non-exponential tunneling ionization of atoms by an intense laser field
  95. Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
  96. Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
  97. Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions
  98. Efficient adiabatic tracking of driven quantum nonlinear systems
  99. Higher order transmission resonances in above-barrier reflection of ultra-cold atoms
  100. MATTER WAVE PROPAGATION ABOVE A STEP POTENTIAL WITHIN THE CUBIC-NONLINEAR SCHRÖDINGER EQUATION
  101. Strong-coupling regime of the nonlinear landau-zener problem for photo- and magnetoassociation of cold atoms
  102. Demkov-Kunike model in cold molecule formation
  103. LANDAU-ZENER TRANSITION IN NONLINEAR QUANTUM SYSTEMS
  104. Landau-Zener transition in quadratic nonlinear two-state systems
  105. Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
  106. Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen–Morse potential
  107. Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included
  108. Weak coupling regime of the Landau-Zener transition for association of an atomic Bose-Einstein condensate
  109. Demkov-kunike model for cold atom association: Weak interaction regime
  110. Variational ansatz for the nonlinear Landau–Zener problem for cold atom association
  111. Rosen–Zener model in cold molecule formation
  112. Second-harmonic generation in a layer with variable susceptibility
  113. Two strong nonlinearity regimes in cold molecule formation
  114. Traveling waves in a nonlinear medium with cubic nonlinearity
  115. Strong-coupling limit in cold-molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing
  116. Landau–Zener transition in photoassociation of cold atoms: strong interaction limit
  117. Incomplete beta-function expansions of the solutions to the confluent Heun equation
  118. A basic two-state model for bosonic field theories with a cubic nonlinearity
  119. Rabi dynamics of coupled atomic and molecular Bose-Einstein condensates
  120. Landau-Zener problem for trilinear systems
  121. Three-level models solvable in terms of the Clausen function
  122. New solutions of Heun s general equation
  123. Three-level system driven by delayed pulses of finite duration
  124. Analytic treatment of the polariton problem for a smooth interface
  125. Solutions of the two-level problem in terms of biconfluent Heun functions
  126. New classes of analytic solutions of the two-level problem
  127. New classes of analytic solutions of the three-state problem
  128. Diffraction of atoms by a standing wave at Gaussian initial momentum distribution of amplitudes
  129. Narrowing of interference fringes in diffraction of prepared atoms by standing waves
  130. New analytically integrable models of the two-state problem
  131. The integrability of the two-state problem in terms of confluent hypergeometric functions
  132. Method of accelerated tests for reliability of mechanical vacuum pumps and their aggregates
  133. Surface polaritons in symmetric non-uniform structures with losses