# The generalized zero-mode supersymmetry scheme and the confluent algorithm

## Abstract

We show the relationship between the mathematical framework used in recent papers by Rosu et al. (2014) [1–3] and the second-order confluent supersymmetric quantum mechanics. In addition, we point out several immediate generalizations of the approach taken in the latter references. Furthermore, it is shown how to apply the generalized scheme to the Dirac and to the Fokker–Planck equation.

- Authors:

- Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary IN 46408 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 22447610

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 354; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; DIRAC EQUATION; FOKKER-PLANCK EQUATION; QUANTUM MECHANICS; SUPERSYMMETRY

### Citation Formats

```
Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu, Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu, and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary IN 46408.
```*The generalized zero-mode supersymmetry scheme and the confluent algorithm*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.01.004.

```
Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu, Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu, & Department of Physics, Indiana University Northwest, 3400 Broadway, Gary IN 46408.
```*The generalized zero-mode supersymmetry scheme and the confluent algorithm*. United States. doi:10.1016/J.AOP.2015.01.004.

```
Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu, Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu, and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary IN 46408. Sun .
"The generalized zero-mode supersymmetry scheme and the confluent algorithm". United States.
doi:10.1016/J.AOP.2015.01.004.
```

```
@article{osti_22447610,
```

title = {The generalized zero-mode supersymmetry scheme and the confluent algorithm},

author = {Contreras-Astorga, Alonso, E-mail: aloncont@iun.edu and Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary IN 46408},

abstractNote = {We show the relationship between the mathematical framework used in recent papers by Rosu et al. (2014) [1–3] and the second-order confluent supersymmetric quantum mechanics. In addition, we point out several immediate generalizations of the approach taken in the latter references. Furthermore, it is shown how to apply the generalized scheme to the Dirac and to the Fokker–Planck equation.},

doi = {10.1016/J.AOP.2015.01.004},

journal = {Annals of Physics},

number = ,

volume = 354,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}

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