On the Heisenberg algebra in Bargmann–Fock space with natural cutoffs-Reference-Cited by-同舟云学术

On the Heisenberg algebra in Bargmann–Fock space with natural cutoffs

Published:2016-04-21 Issue:05 Volume:13 Page:1650054
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Nozari K.¹,Roushan M.¹

Affiliation:

1. Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

Abstract

We construct a generalized Hilbert space representation of quantum mechanics in [Formula: see text]-dimensions based on Bargmann–Fock space with natural cutoffs as a minimal length, minimal momentum and maximal momentum in order to have a general framework for Heisenberg algebra in Bargmann–Fock space.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887816500547

Reference14 articles.

1. BEREZIN QUANTIZATION OF THE SCHRÖDINGER ALGEBRA

2. Hilbert space representation of the minimal length uncertainty relation

3. Maximal localization in the presence of minimal uncertainties in positions and in momenta

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5. Small-scale structure of spacetime as the origin of the gravitational constant

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