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On the Conformable Fractional Quantum Mechanics
- Issue Date
- May-2018
- Publisher
- KOREAN PHYSICAL SOC
- Keywords
- Conformable fractional quantum mechanics; Fractional-radial harmonic oscillator; Expectation value; Uncertainty principle
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.72, no.9, pp 980 - 986
- Pages
- 7
- Indexed
- SCI
SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Volume
- 72
- Number
- 9
- Start Page
- 980
- End Page
- 986
- ISSN
- 0374-4884
1976-8524
- Abstract
- In this paper, a conformable fractional quantum mechanic has been introduced using three postulates. Then in such a formalism, Schrodinger equation, probability density, probability flux and continuity equation have been derived. As an application of considered formalism, a fractional-radial harmonic oscillator has been considered. After obtaining its wave function and energy spectrum, effects of the conformable fractional parameter on some quantities have been investigated and plotted for different excited states.
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