All Stories

  1. Discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts
  2. Recurrence relations of the multi-indexed orthogonal polynomials. VI. Meixner–Pollaczek and continuous Hahn types
  3. Recurrence relations of the multi-indexed orthogonal polynomials V: Racah and q-Racah types
  4. Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials
  5. Orthogonal polynomials from Hermitian matrices. II
  6. New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics
  7. Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
  8. Multi-indexed Meixner and littleq-Jacobi (Laguerre) polynomials
  9. Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators
  10. Recurrence relations of the multi-indexed orthogonal polynomials. III
  11. Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilogarithm
  12. Casoratian identities for the Wilson and Askey–Wilson polynomials
  13. Recurrence relations of the multi-indexed orthogonal polynomials. II
  14. Reflectionless potentials for difference Schrödinger equations
  15. Equivalences of the multi-indexed orthogonal polynomials
  16. Non-polynomial extensions of solvable potentials à la Abraham-Moses
  17. Recurrence relations of the multi-indexed orthogonal polynomials
  18. Krein–Adler transformations for shape-invariant potentials and pseudo virtual states
  19. Extensions of solvable potentials with finitely many discrete eigenstates
  20. Preface
  21. Multi-indexed Wilson and Askey–Wilson polynomials
  22. Multi-indexed ( q -)Racah polynomials
  23. Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials
  24. Discrete quantum mechanics
  25. Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
  26. Dual Christoffel Transformations
  27. The Exceptional (X ) (q)-Racah Polynomials
  28. A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with continuous ℓ
  29. Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism
  30. Exceptional Askey–Wilson-type polynomials through Darboux–Crum transformations
  31. Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
  32. Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
  33. Another set of infinitely many exceptional
  34. Crum's Theorem for 'Discrete' Quantum Mechanics
  35. Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey–Wilson polynomials
  36. Infinitely many shape invariant potentials and new orthogonal polynomials
  37. Orthogonal polynomials from Hermitian matrices
  38. q-oscillator from the q-Hermite polynomial
  39. Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States
  40. Multiparticle quasiexactly solvable difference equations
  41. Interpolation of SUSY quantum mechanics
  42. Exact Heisenberg operator solutions for multiparticle quantum mechanics
  43. Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
  44. Exact solution in the Heisenberg picture and annihilation–creation operators
  45. Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials
  46. Equilibrium positions, shape invariance and Askey–Wilson polynomials
  47. Shape Invariant Potentials in “Discrete Quantum Mechanics”
  48. Equilibria of ‘discrete’ integrable systems and deformation of classical orthogonal polynomials
  49. Polynomials associated with equilibria of affine Toda–Sutherland systems
  50. COMMENTS ON THE DEFORMED W N ALGEBRA
  51. Polynomials associated with equilibrium positions in Calogero Moser systems
  52. COMMENTS ON THE DEFORMED W N ALGEBRA
  53. Beyond CFT: Deformed Virasoro and Elliptic Algebras
  54. On Lepowsky-Wilson’s
  55. Quasi-Hopf twistors for elliptic quantum groups
  56. Free field approach to the dilute AL models
  57. Elliptic Algebra $\Uqp(\slthbig)$ : Drinfeld Currents and Vertex Operators
  58. Integral representations of the Macdonald symmetric polynomials
  59. A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
  60. Quantum 401-1401-1401-1algebras and Macdonald polynomials
  61. Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms
  62. Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
  63. Character and determinant formulae of quasifinite representation of theW 1+∞ algebra
  64. Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra
  65. Quasifinite highest weight modules over the superW 1+∞algebra
  66. Collective field theory, Calogero-Sutherland model and generalized matrix models
  67. Subalgebras of W 1+ infinity and their quasifinite representations
  68. Representation Theory of the W 1+∞ Algebra
  69. Eigensystem and full character formula of theW 1+? algebra withc = 1
  70. Determinant formulae of quasi-finite representation of W1+∞ algebra at lower levels
  71. Free boson realization of
  72. Free boson representation of $$U_q (\widehat{sl}_3 )$$
  73. Heisenberg realization for U q (sl n ) on the flag manifold
  74. Continuum limit of spin-1 chain
  75. UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS
  76. Two-matrix model and minimal unitary model
  77. W1+∞ and super-W∞ algebras with SU(N) symmetry
  78. Nonperturbative analysis of the three matrix model
  79. c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY
  80. CHARACTER FORMULAS OF AN EXTENDED SUPERCONFORMAL ALGEBRA RELEVANT TO STRING COMPACTIFICATION
  81. EXTENSION OF N = 2 SUPERCONFORMAL ALGEBRA AND CALABI-YAU COMPACTIFICATION
  82. Operator product expansion coefficients in N = 1 superconformal theory and slightly relevant perturbation
  83. FERMIONIC CONSTRUCTION OF N=0, 1, 2 (SUPER) CONFORMAL ALGEBRAS
  84. Modular invariance and two-loop bosonic string vacuum amplitude