# Approximation solution of Schrodinger equation for Q-deformed Rosen-Morse using supersymmetry quantum mechanics (SUSY QM)

## Abstract

The approximate analytical solution of Schrodinger equation for Q-Deformed Rosen-Morse potential was investigated using Supersymmetry Quantum Mechanics (SUSY QM) method. The approximate bound state energy is given in the closed form and the corresponding approximate wave function for arbitrary l-state given for ground state wave function. The first excited state obtained using upper operator and ground state wave function. The special case is given for the ground state in various number of q. The existence of Rosen-Morse potential reduce energy spectra of system. The larger value of q, the smaller energy spectra of system.

- Authors:

- Department of Physics, the State University of Surabaya (Unesa), Jl. Ketintang, Surabaya 60231 (Indonesia)
- Departmet of Physics, Sebelas Maret University, Jl. Ir. Sutami 36A Kentingan, Surakarta 57126 (Indonesia)

- Publication Date:

- OSTI Identifier:
- 22488899

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1677; Journal Issue: 1; Conference: 5. international conference on mathematics and natural sciences, Bandung (Indonesia), 2-3 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; APPROXIMATIONS; BOUND STATE; ENERGY SPECTRA; EXCITED STATES; GROUND STATES; MORSE POTENTIAL; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SUPERSYMMETRY; WAVE FUNCTIONS

### Citation Formats

```
Alemgadmi, Khaled I. K., E-mail: azozkied@yahoo.com, Suparmi, Cari, and Deta, U. A., E-mail: utamaalan@yahoo.co.id.
```*Approximation solution of Schrodinger equation for Q-deformed Rosen-Morse using supersymmetry quantum mechanics (SUSY QM)*. United States: N. p., 2015.
Web. doi:10.1063/1.4930626.

```
Alemgadmi, Khaled I. K., E-mail: azozkied@yahoo.com, Suparmi, Cari, & Deta, U. A., E-mail: utamaalan@yahoo.co.id.
```*Approximation solution of Schrodinger equation for Q-deformed Rosen-Morse using supersymmetry quantum mechanics (SUSY QM)*. United States. doi:10.1063/1.4930626.

```
Alemgadmi, Khaled I. K., E-mail: azozkied@yahoo.com, Suparmi, Cari, and Deta, U. A., E-mail: utamaalan@yahoo.co.id. Wed .
"Approximation solution of Schrodinger equation for Q-deformed Rosen-Morse using supersymmetry quantum mechanics (SUSY QM)". United States. doi:10.1063/1.4930626.
```

```
@article{osti_22488899,
```

title = {Approximation solution of Schrodinger equation for Q-deformed Rosen-Morse using supersymmetry quantum mechanics (SUSY QM)},

author = {Alemgadmi, Khaled I. K., E-mail: azozkied@yahoo.com and Suparmi and Cari and Deta, U. A., E-mail: utamaalan@yahoo.co.id},

abstractNote = {The approximate analytical solution of Schrodinger equation for Q-Deformed Rosen-Morse potential was investigated using Supersymmetry Quantum Mechanics (SUSY QM) method. The approximate bound state energy is given in the closed form and the corresponding approximate wave function for arbitrary l-state given for ground state wave function. The first excited state obtained using upper operator and ground state wave function. The special case is given for the ground state in various number of q. The existence of Rosen-Morse potential reduce energy spectra of system. The larger value of q, the smaller energy spectra of system.},

doi = {10.1063/1.4930626},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1677,

place = {United States},

year = {2015},

month = {9}

}

DOI: 10.1063/1.4930626

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