Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modern Physics Letters A

A CLASS OF EXACT SOLUTIONS OF THE TIME-DEPENDENT SCHRÖDINGER EQUATION WITH TIME-DEPENDENT MASS

Axel Schulze‐Halberg

Published Dec 28, 2001• 1 citation
Publisher

Abstract

We obtain a large class of solvable potentials and the corresponding exact solutions of the time-dependent Schrödinger equation with time-dependent mass by transforming it into an equation of telegraphy.
DOI
10.1142/s0217732301006065

Related papers

A METHOD OF GENERATING EXACT SOLUTIONS OF THE TIME-DEPENDENT SCHRÖDINGER EQUATION WITH TIME-DEPENDENT MASS

Axel Schulze‐Halberg

Extending the method presented in our previous paper,12 we map the time-dependent Schrödinger equation (TDSE) with time-dependent mass on a stationary Schrödinger equation for a nonconstant potential. On solving the latter, we can thus generate a large class of exact solutions of the original TDSE. Several examples are given, including potentials of power-law and modified Pöschl–Teller type.

Modern Physics Letters A•Aug 10, 2002•0 citations

Generation of exactly solvable potentials of the D-dimensional position-dependent mass Schrödinger equation using the transformation method

Hangshadhar Rajbongshi, Ngangkham Nimai Singh

Theoretical and Mathematical Physics•May 1, 2015•10 citations

Exact solutions of the Schrodinger equation with position dependent mass for the solvable potentials

F. Aricak, M. Sezgin

1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY

AIP conference proceedings•Jan 1, 2012•0 citations

Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials

Metin Aktaş, R. Sever

Journal of Mathematical Chemistry•Sep 22, 2006•23 citations

Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials

Ling Jiang, Liangzhong Yi, Chun‐Sheng Jia

Physics Letters A•Jul 28, 2005•84 citations

EXACT SOLUTIONS OF SCHRODINGER'S EQUATION FOR SPIN SYSTEMS IN A CLASS OF TIME DEPENDENT MAGNETIC FIELDS: II

Maryam Tahmasebi, Y. Sobouti

The case of a quantum two-level system coupled to a time variable magnetic field is investigated. The Schrodinger equation pertaining to the system is reduced to a second order linear equation in time and its solutions are sought by an integrating factor technique. A differential equation for the integrating factor and, therefrom, a criterion for fields leading to exact solutions are derived. The formalism is capable of giving a wide variety of closed form radio frequency (RF) wave forms for which Schrodinger's equation is exactly solvable.

Modern Physics Letters B•Aug 30, 1992•8 citations
The case of a quantum two-level system coupled to a time variable magnetic field is investigated. The Schrodinger equation pertaining to the system is reduced to a second order linear equation in time and its solutions are sought by an integrating factor technique. A differential equation for the integrating factor and, therefrom, a criterion for fields leading to exact solutions are derived. The formalism is capable of giving a wide variety of closed form radio frequency (RF) wave forms for which Schrodinger's equation is exactly solvable.