A new higher order GUP: one dimensional quantum system

Chung, Won Sang; Hassanabadi, Hassan

doi:10.1140/epjc/s10052-019-6718-3

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A new higher order GUP: one dimensional quantum system

Chung, Won Sang;
Hassanabadi, Hassan

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WEB OF SCIENCE

72

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71

초록

In this paper we present a new higher order generalized (gravitational) uncertainty principle (GUP*) which has the maximal momentum as well as the minimal length. We discuss the position representation and momentum representation. We also discuss the position eigenfunction and maximal localization states. As examples we discuss one dimensional box problem and harmonic oscillator problem.

키워드

GENERALIZED UNCERTAINTY PRINCIPLE; MINIMAL LENGTH UNCERTAINTY; MAXIMAL MOMENTUM; SPACE; GRAVITY

제목: A new higher order GUP: one dimensional quantum system

저자: Chung, Won Sang; Hassanabadi, Hassan

DOI: 10.1140/epjc/s10052-019-6718-3

발행일: 2019-03-08

유형: Article

저널명: European Physical Journal C

권: 79

호: 3