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Keyword

exactly solvable potentials

Description: Potential-energy functions in quantum mechanics for which the Schrödinger equation can be solved exactly, yielding analytic energy states.
OpenAlex ID: keywords/exactly-solvable-potentials
Supersymmetry and quantum mechanics
1995 · Fred Cooper, Avinash Khare, et al. · Physics Reports · 2,735
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Supersymmetric quantum mechanics of one-dimensional systems
1985 · C V Sukumar · Journal of Physics A Mathematical and General · 435
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Supersymmetry, shape invariance, and exactly solvable potentials
1988 · Ranabir Dutt, Avinash Khare, et al. · American Journal of Physics · 426
Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex -invariant potential
2001 · Zafar Ahmed · Physics Letters A · 355
Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
2000 · Géza Lévai, Miloslav Znojil · Journal of Physics A Mathematical and General · 273
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−symmetric harmonic oscillators
1999 · Miloslav Znojil · Physics Letters A · 270
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Solutions of the nonrelativistic wave equation with position-dependent effective mass
2002 · A. D. Alhaidari · Physical Review A · 260
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Infinitely many shape invariant potentials and new orthogonal polynomials
2009 · Satoru Odake, Ryu Sasaki · Physics Letters B · 254
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Mapping of shape invariant potentials under point canonical transformations
1992 · R De, R Dutt, et al. · Journal of Physics A Mathematical and General · 197
Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
2008 · C Quesne · Journal of Physics A Mathematical and Theoretical · 195
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Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
2005 · B Bagchi, A Banerjee, et al. · Journal of Physics A Mathematical and General · 191
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Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
2004 · Jiang Yu, Shi-Hai Dong · Physics Letters A · 175
Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
1995 · V. G. Bagrov, B. F. Samsonov · Theoretical and Mathematical Physics · 173
Mutual integrability, quadratic algebras, and dynamical symmetry
1992 · Ya.I Granovskii, I.M Lutzenko, et al. · Annals of Physics · 168
An infinite family of solvable and integrable quantum systems on a plane
2009 · Frédérick Tremblay, Alexander V Turbiner, et al. · Journal of Physics A Mathematical and Theoretical · 161
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Another set of infinitely many exceptional (Xℓ) Laguerre polynomials
2010 · Satoru Odake, Ryu Sasaki · Physics Letters B · 158
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Exactly complete solutions of the Schrödinger equation with a spherically harmonic oscillatory ring-shaped potential
2009 · Min-Cang Zhang, Guo-Hua Sun, et al. · Physics Letters A · 138
A class of exactly solvable potentials. I. One-dimensional Schrödinger equation
1984 · Joseph N Ginocchio · Annals of Physics · 136
Path Integral Discussion for Smorodinsky-Winternitz Potentials: I. Two- and Three Dimensional Euclidean Space
1995 · C. Grosche, G. S. Pogosyan, et al. · Fortschritte der Physik/Progress of Physics · 130
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Conditionally exactly soluble class of quantum potentials
1993 · Alvaro de Souza Dutra · Physical Review A · 130
Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
2004 · Bagchi, B, Banerjee, A, et al. · CERN Document Server (European Organization for Nuclear Research) · 128
A systematic study on the exact solution of the position dependent mass Schr dinger equation
2003 · Ramazan Ko, Mehmet Koca · Journal of Physics A Mathematical and General · 126
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Proper quantization rule
2010 · Wen-Chao Qiang, Shi-Hai Dong · Europhysics Letters (EPL) · 124
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Exactly solvable potentials and quantum algebras
1992 · Vyacheslav Spiridonov · Physical Review Letters · 123
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Quantum Correction in Exact Quantization Rules
2005 · Zhong-qi Ma, Bo-wei Xu · 122
Works count: 669
Citation count: 15,400
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