# The Quantum mechanics SUSY algebra: An Introductory review

@article{Rodrigues2002TheQM, title={The Quantum mechanics SUSY algebra: An Introductory review}, author={Rafael de Lima Rodrigues}, journal={arXiv: High Energy Physics - Theory}, year={2002} }

Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry algebra is associated to one-component and two-component eigenfunctions considered in the Schr\"odinger picture of Nonrelativistic Quantum Mechanics. Applications are contemplated.

## 52 Citations

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A spin $\frac 12$ relativistic particle described by a general potential in terms of the sum of the Coulomb potential with a Lorentz scalar potential is investigated via supersymmetry in quantum…

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### Supersymmetric Quantum Mechanics

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- 2009

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### N=2 Supersymmetry with Central Charge: A Twofold Implementation

- PhysicsAdvances in High Energy Physics
- 2019

In this work, we analyze an extended N=2 supersymmetry with central charge and develop its superspace formulation under two distinct viewpoints. Initially, in the context of classical mechanics, we…

### SUSY QM from Three Domain Walls in a Scalar Potential

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- 2006

We investigate the linear classical stability of Bogomol’nyi-Prasad-Sommerfield (BPS) on three domain wall solutions in a system of three coupled real scalar fields, for a general positive potential…

### Trends in Supersymmetric Quantum Mechanics

- PhysicsIntegrability, Supersymmetry and Coherent States
- 2019

Along the years, supersymmetric quantum mechanics (SUSY QM) has been used for studying solvable quantum potentials. It is the simplest method to build Hamiltonians with prescribed spectra in the…

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