Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping
DOI10.1142/S0217732321501406zbMath1487.81084arXiv2005.01250MaRDI QIDQ5067234
Esdras S. Santos, Olavo Abla, Ignacio S. Gomez
Publication date: 1 April 2022
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.01250
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) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Spinor and twistor methods applied to problems in quantum theory (81R25) Classical and relativistic thermodynamics (80A10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Momentum maps; symplectic reduction (53D20) Molecular physics (81V55) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)
Cites Work
- Unnamed Item
- On the Klein-Gordon oscillator subject to a Coulomb-type potential
- The equation-transform model for Dirac-Morse problem including Coulomb tensor interaction
- Pekeris approximation -- another perspective
- Bohmian formalism and Fisher information from \(q\)-deformed Schrödinger equation
- Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential
- Dirac and Klein-Gordon equations with equal scalar and vector potentials
- New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
- Oscillations in a two-dimensional gas of massless Dirac fermions
- Exact solutions of Dirac equation on a static curved space-time
- Solution of the Klein-Gordon for exponential scalar and vector potentials
- \(L^{2}\) series solution of the relativistic Dirac-Morse problem for all energies
- Application of the exact quantization rule to the relativistic solution of the rotational Morse potential with pseudospin symmetry
- Approximate analytical solutions of the Dirac equation with the generalized Morse potential model in the presence of the spin symmetry and pseudo-spin symmetry
- Comment on ‘Energy profile of the one-dimensional Klein–Gordon oscillator’
- Generalized space and linear momentum operators in quantum mechanics
- The relativistic treatment of spin-0 particles under the rotating Morse oscillator
- The Dirac oscillator with a Coulomb-like tensor potential
This page was built for publication: Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping
