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International Journal of Theoretical Physics

Supersymmetry and the ladder operator technique in quantum mechanics: The radial Schr�dinger equation

ANURADHA LAHIRI, PRODYOT KUMAR ROY, Bijan Kumar Bagchi

Published Feb 1, 1989• 3 citations
Publisher
DOI
10.1007/bf00669809

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Construction of a few Quantum mechanical Hamiltonians via Leˊ\acute{e}eˊvi-Leblond type Linearization:Spinor states and Supersymmetry
A number of new Leˊ\acute{e}eˊvi-Leblond type equations admitting four component spinor solutions have been proposed. The pair of linearized equations thus obtained in each case lead to Hamiltonians with characteristic features like L-S coupling and supersymmetry. The relevant momentum operators have often been understood in terms of Clifford algebraic bases producing Schro¨\ddot{o}o¨dinger Hamiltonians with L-S coupling. As for example Hamiltonians representing Rashba effect or three dimensional harmonic oscillator have been constructed. The supersymmetric nature of one dimensional oscillator has also been appreciated.