Geometric description of the Schrödinger equation in (3n+1)-dimensional configuration space-Reference-Cited by-同舟云学术

Geometric description of the Schrödinger equation in (3n+1)-dimensional configuration space

Published:2017-09-13 Issue:10 Volume:14 Page:1750149
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:

Abdul Wasay M.¹²^ORCID,Bashir Asma¹,Koch Benjamin³,Ghaffar Abdul¹

Affiliation:

1. Department of Physics, University of Agriculture, Faisalabad 38040, Pakistan

2. National Center for Physics, Quaid-i-Azam University Campus, Islamabad, Pakistan

3. Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, 782-0436 Macul, Santiago, Chile

Abstract

We show that for non-relativistic free particles, the (bosonic) many particle equations can be rewritten in geometric fashion in terms of a classical theory of conformally stretched spacetime. We further generalize the results for the particles subject to a potential.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817501493

Reference15 articles.

1. Quantizing Geometry or Geometrizing the Quantum?

2. Geometrizing the Quantum—A Toy Model

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4. ON THE NONCOMMUTATIVE EIKONAL

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