# The effect of generalized uncertainty principle on square well, a case study

## Abstract

According to a special case (β = 0) of the generalized uncertainty relation we derive the energy eigenvalues of the infinite potential well. It is shown that the obtained energy levels are different from the usual result with some correction terms. And the correction terms of the energy eigenvalues are independent of other parameters except α. But the eigenstates will depend on another two parameters besides α.

- Authors:

- Department of Physics, Shanxi Datong University, 037009 Datong (China)
- (China)
- Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong (China)

- Publication Date:

- OSTI Identifier:
- 22306085

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENSTATES; EIGENVALUES; ENERGY LEVELS; QUANTUM MECHANICS; UNCERTAINTY PRINCIPLE

### Citation Formats

```
Ma, Meng-Sen, E-mail: mengsenma@gmail.com, Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong, and Zhao, Ren.
```*The effect of generalized uncertainty principle on square well, a case study*. United States: N. p., 2014.
Web. doi:10.1063/1.4892102.

```
Ma, Meng-Sen, E-mail: mengsenma@gmail.com, Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong, & Zhao, Ren.
```*The effect of generalized uncertainty principle on square well, a case study*. United States. doi:10.1063/1.4892102.

```
Ma, Meng-Sen, E-mail: mengsenma@gmail.com, Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong, and Zhao, Ren. Fri .
"The effect of generalized uncertainty principle on square well, a case study". United States.
doi:10.1063/1.4892102.
```

```
@article{osti_22306085,
```

title = {The effect of generalized uncertainty principle on square well, a case study},

author = {Ma, Meng-Sen, E-mail: mengsenma@gmail.com and Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong and Zhao, Ren},

abstractNote = {According to a special case (β = 0) of the generalized uncertainty relation we derive the energy eigenvalues of the infinite potential well. It is shown that the obtained energy levels are different from the usual result with some correction terms. And the correction terms of the energy eigenvalues are independent of other parameters except α. But the eigenstates will depend on another two parameters besides α.},

doi = {10.1063/1.4892102},

journal = {Journal of Mathematical Physics},

number = 8,

volume = 55,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4892102

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