HOPF MAP AND QUANTIZATION ON SPHERE-Reference-Cited by-同舟云学术

HOPF MAP AND QUANTIZATION ON SPHERE

Published:1999-12-14 Issue:38 Volume:14 Page:2649-2655
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

IKEMORI HITOSHI¹,KITAKADO SHINSAKU²,OTSU HIDEHARU³,SATO TOSHIRO⁴

Affiliation:

1. Faculty of Economics, Shiga University, Hikone, Shiga 522-8522, Japan

2. Department of Physics, Nagoya University, Nagoya 464-8602, Japan

3. Faculty of Economics, Aichi University, Toyohashi, Aichi 441-8522, Japan

4. Faculty of Political Science and Economics, Matsusaka University, Matsusaka, Mie 515-8511, Japan

Abstract

Quantization of a system constrained to move on a sphere is considered by taking a square root of the "on sphere condition". We arrive at the fiber bundle structure of the Hopf map in S2 and S4. This leads to more geometrical understanding of monopole and instanton gauge structures that emerge in the course of quantization.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732399002789

Reference13 articles.

1. Fundamental algebra for quantum mechanics on SD and gauge potentials

2. ON QUANTUM MECHANICS ON COMPACT SPACE

3. On the Emergence of Gauge Structures and Generalized Spin when Quantizing on a Coset Space

4. The geometry of inequivalent quantizations

5. BPST instanton and spin from inequivalent quantizations

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1. Riemannian gauge theory and charge quantization;Journal of High Energy Physics;2003-10-23

2. BERRY CONNECTIONS AND INDUCED GAUGE FIELDS IN QUANTUM MECHANICS ON SPHERE;Modern Physics Letters A;2000-06-14