A new higher order GUP: one dimensional quantum system

A new higher order GUP: one dimensional quantum system

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 s...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2019-03, Vol.79 (3), p.1-7, Article 213
Hauptverfasser: Chung, Won Sang, Hassanabadi, Hassan
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Eigenvectors
Elementary Particles
Hadrons
Harmonic oscillators
Heavy Ions
Measurement Science and Instrumentation
Momentum
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum theory
Regular Article - Theoretical Physics
Representations
String Theory
Technical institutes
Technology
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Beschreibung
Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-6718-3