An algebraic approach to gravitational quantum mechanics

Chung WS, Junker G, Hassanabadi H (2025)

Publication Type: Journal article

Publication year: 2025

Journal

European Physical Journal Plus Springer Science + Business Media

Book Volume: 140

Article Number: 402

Issue: 5

DOI: 10.1140/epjp/s13360-025-06335-8

Abstract

Most approaches towards a quantum theory of gravitation indicate the existence of a minimal length scale of the order of the Planck length. Quantum mechanical models incorporating such an intrinsic length scale call for a deformation of Heisenberg’s algebra resulting in a generalised uncertainty principle and constitute what is called gravitational quantum mechanics. Utilising the position representation of this deformed algebra, we study various models of gravitational quantum mechanics. The free time evolution of a Gaussian wave packet is investigated as well as the spectral properties of a particle bound by an external attractive potential. Here the cases of a box with infinite walls and an attractive potential well of finite depth are considered.

Authors with CRIS profile

Georg Junker Naturwissenschaftliche Fakultät

Involved external institutions

Universidad de Valladolid ES Spain (ES) Gyeongsang National University (GNU) / 경상대학교 KR Korea, Republic of (KR)

How to cite

APA:

Chung, W.S., Junker, G., & Hassanabadi, H. (2025). An algebraic approach to gravitational quantum mechanics. European Physical Journal Plus, 140. https://doi.org/10.1140/epjp/s13360-025-06335-8

MLA:

Chung, Won Sang, Georg Junker, and Hassan Hassanabadi. "An algebraic approach to gravitational quantum mechanics." European Physical Journal Plus 140 (2025).

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