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Remarks on quantum deformation of quasi-exactly solvable problems

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Publication:1967869
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DOI10.1016/0375-9601(96)00199-5zbMath0972.81528OpenAlexW2135615840MaRDI QIDQ1967869

Rajkumar Roychoudhury, Pinaki Roy

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00199-5



Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)


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A new class of PT-symmetric Hamiltonians with real spectra



Cites Work

  • Quasi-exactly-solvable problems and sl(2) algebra
  • THE q-SCHRÖDINGER EQUATION
  • On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
  • The quantum group SUq(2) and a q-analogue of the boson operators
  • Quantum algebra deforming maps, Clebsch–Gordan coefficients, coproducts, R and U matrices
  • On the q-analogue of the hydrogen atom
  • Quantum and classical mechanics of q-deformed systems
  • q-Deformation of the Coulomb problem
  • The quantum mechanical Schrodinger picture of a q-oscillator
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