# Motion of a spin-½ particle in shape invariant scalar and magnetic fields

@article{Tkachuk2000MotionOA, title={Motion of a spin-½ particle in shape invariant scalar and magnetic fields}, author={V. M. Tkachuk and Probir Roy}, journal={Journal of Physics A}, year={2000}, volume={33}, pages={4159-4167} }

We study the motion of a spin-½ particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics. We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.

## 6 Citations

$\cN$-FOLD SUPERSYMMETRY IN QUANTUM MECHANICAL MATRIX MODELS

- Physics, Mathematics
- 2012

We formulate -fold supersymmetry in quantum mechanical matrix models. As an example, we construct general two-by-two Hermitian matrix two-fold supersymmetric quantum mechanical systems. We find that…

Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass

- PhysicsIntegrability, Supersymmetry and Coherent States
- 2019

The contemporary results concerning supersymmetries in generalized Schrodinger equations are presented. Namely, position dependent mass Schrodinger equations are discussed as well as the equations…

Matrix superpotential linear in variable parameter

- Mathematics, Physics
- 2012

Abstract The paper presents the classification of matrix valued superpotentials corresponding to shape invariant systems of Schrodinger equations. All inequivalent irreducible matrix superpotentials…

Three-Dimensional Matrix Superpotentials

- Physics, Mathematics
- 2011

We present a classification of matrix superpotentials that correspond to exactly solvable systems of Schrödinger equations. Superpotentials of the form $$ {W_k}=kQ+P+\frac{1}{k}R $$ are considered,…

Matrix Superpotentials of Special Form

- Mathematics
- 2014

We present a classification of matrix superpotentials corresponding to exactly solvable Schrödinger equations and consider superpotentials of a special form Wk=kQ+1kR$$ {W}_k=kQ+\frac{1}{k}R $$,…

Enhanced classification of matrix superpotentials

- Physics
- 2011

A simple and algorithmic description of additive shape invariant matrix potentials is presented. The dependence of the corresponding superpotentials on the variable parameter κ is restricted to…

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