Some quantum mechanical solutions in nonrelativistic anti-Snyder framework

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초록

In this paper, we investigate nonrelativistic anti-Snyder model in momentum representation and obtain quantum mechanical eigenvalues and eigenfunctions. Using this framework, first, in one dimension, we study a particle in a box and the harmonic oscillator problems. Then, for more investigations, in three dimensions, the quantum mechanical eigenvalues and eigenfunctions of a free particle problem and the radius of the neutron star are obtained.

키워드

Modified commutation relations; nonrelativistic anti-Snyder algebra; quantum mechanics; DOUBLY SPECIAL RELATIVITY; QUANTIZED SPACE-TIME; MINIMUM LENGTH; PLANCK-SCALE; GRAVITY
제목
Some quantum mechanical solutions in nonrelativistic anti-Snyder framework
저자
Shababi, Homa; Chung, Won Sang
DOI
10.1142/S0217751X17501706
발행일
2017-09-30
유형
Article
저널명
International Journal of Modern Physics A
권
32
호
27