Laplace transform method in one dimensional quantum mechanics on the semi infinite axis
DOI10.1007/S10910-022-01348-5zbMath1496.81051OpenAlexW4293235490MaRDI QIDQ2141372
Jeongmin Kwon, Yeounju Kim, Won-Sang Chung
Publication date: 25 May 2022
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-022-01348-5
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Laplace transform (44A10)
Cites Work
- A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation
- Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
- The exact solutions of the Schrödinger equation with the Morse potential via Laplace transforms
- On the Coulomb-type potential of the one-dimensional Schrödinger equation
- A unified treatment of the non-relativistic and relativistic hydrogen atom I: The wavefunctions
- A Laplace transform approach to the quantum harmonic oscillator
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