Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential
DOI10.1007/s10910-021-01318-3zbMath1487.81078OpenAlexW4206613516MaRDI QIDQ2118764
Debraj Nath, Ramon Carbó-Dorca
Publication date: 23 March 2022
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-021-01318-3
time-dependent Schrödinger equationPöschl-Teller potentialaverage energyquantum similarity indexrovibrational energy
General topics in linear spectral theory for PDEs (35P05) 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) Molecular physics (81V55) Resonance in context of PDEs (35B34) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pekeris approximation -- another perspective
- Symmetrical overlap transformations of function basis sets: the LCAO MO and quantum similarity practical cases
- A class of exactly solvable Schrödinger equation with moving boundary condition
- The quantum square well with moving boundaries: a numerical analysis
- Second-order supersymmetric periodic potentials
- Supersymmetry of a nonstationary Schrödinger equation.
- A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces
- Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index
- Singular potentials and moving boundaries in 3D
- Exact solvability of moving boundary problems
- Time-dependent PT symmetric problems
- Quantum particle in a box with moving walls
- The Eckart-like potential studied by a new approximate scheme to the centrifugal term
- Quantum treatment of a class of time-dependent potentials
- The scattering states of thel-wave Schrödinger equation with the second Pöschl–Teller-like potential
- Explicit solutions of the time-dependent Schrodinger equation
- R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations
- Schrödinger equation with time-dependent boundary conditions
- Two classes of exactly solvable quantum models with moving boundaries
- On form-preserving transformations for the time-dependent Schrödinger equation
- The Rotation-Vibration Coupling in Diatomic Molecules
- The generalized harmonic oscillator and the infinite square well with a moving boundary
- Exact Quantization Conditions. II
- ANALYTICAL APPROXIMATIONS TO THE SCHRÖDINGER EQUATION FOR A SECOND PÖSCHL–TELLER-LIKE POTENTIAL WITH CENTRIFUGAL TERM
- On the Origin of the Cosmic Radiation
- Exact evolving states for a class of generalized time-dependent quantum harmonic oscillators with a moving boundary
This page was built for publication: Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential
