# On Supersymmetric Quantum Mechanics

@article{Kibler2004OnSQ, title={On Supersymmetric Quantum Mechanics}, author={Maurice R. Kibler and Mohammed Daoud}, journal={arXiv: Quantum Physics}, year={2004}, pages={67-96} }

This paper constitutes a review on N = 2 fractional supersym-metric Quantum Mechanics of order k. The presentation is based on the introduction of a generalized Weyl-Heisenberg algebra W k . It is shown how a general Hamiltonian can be associated with the algebra W k . This general Hamiltonian covers various supersymmetrical versions of dynamical systems (Morse system, Poschl-Teller system, fractional supersymmetric oscillator of order k, etc.). The case of ordinary supersymmetric Quantum…

## 2 Citations

### Bosonic and k-fermionic coherent states for a class of polynomial Weyl–Heisenberg algebras

- Mathematics
- 2012

The aim of this paper is to construct coherent states à la Perelomov and à la Barut–Girardello for a polynomial Weyl–Heisenberg algebra. This generalized Weyl–Heisenberg algebra, denoted by , depends…

### A Bibliography of Publications of

- History
- 2015

This bibliography records publications of Frank E. Harris. Title word cross-reference + [132]. 1 [216, 217]. $14.50 [46]. $20.00 [20]. 3 + 1 [378]. = [192]. + [72, 358]. 5 [121]. − [87, 132, 59]. 1…

## References

SHOWING 1-10 OF 102 REFERENCES

### Deformed Heisenberg Algebra, Fractional Spin Fields, and Supersymmetry without Fermions

- Physics
- 1994

Abstract Within a group-theoretical approach to the description of (2+1)-dimensional anyons, the minimal covariant set of linear differential equations is constructed for the fractional spin fields…

### Supersymmetric Methods in Quantum and Statistical Physics

- Physics
- 1996

Contents: Introduction.- Supersymmetric Quantum Mechanics.- The Witten Model.- Supersymmetric Classical Mechanics.- Exact Solution of Quantum-Mechanical Eigenvalue Problems.- Quasi-Classical…

### R-Deformed Heisenberg Algebra, Anyons and D=2+1 Supersymmetry

- Physics
- 1997

A universal minimal spinor set of linear differential equations describing anyons and ordinary integer and half-integer spin fields is constructed with the help of deformed Heisenberg algebra with…

### Three aspects of bosonized supersymmetry and linear differential field equation with reflection

- Physics
- 1999

### HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID

- Mathematics
- 1991

The oscillator-type realization is proposed for the continuous set of infinite-dimensional algebras of quantum operators on the two-dimensional sphere and hyperboloid. This realization is typical for…