ON A LIE ALGEBRAIC APPROACH OF QUASI-EXACTLY SOLVABLE POTENTIALS WITH TWO KNOWN EIGENSTATES

DOI10.1142/S0217732301004479zbMath1138.81378arXivquant-ph/0104009MaRDI QIDQ3508249

J. Ndimubandi, Yves Brihaye, Nathalie Debergh

Publication date: 27 June 2008

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0104009

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items

PT-SYMMETRIC NONPOLYNOMIAL OSCILLATORS AND HYPERBOLIC POTENTIAL WITH TWO KNOWN REAL EIGENVALUES IN A SUSY FRAMEWORK ⋮ A general approach of quasi-exactly solvable Schrödinger equations ⋮ GENERAL EIGENVALUE PROBLEMS WITH UNBOUNDED POTENTIAL FROM BELOW ⋮ Multidimensional quasi-exactly solvable potentials with two known eigenstates

Cites Work

• Quasi-exactly-solvable problems and sl(2) algebra
• Quasi-exactly solvable potentials with two known eigenstates
• The quantum anharmonic oscillator and quasi-exactly solvable Bose systems

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