INEQUIVALENT QUANTIZATION IN THE SKYRME MODEL-Reference-Cited by-同舟云学术

INEQUIVALENT QUANTIZATION IN THE SKYRME MODEL

Published:1999-07-30 Issue:19 Volume:14 Page:2977-2991
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

IKEMORI HITOSHI¹,KITAKADO SHINSAKU²,NAKATANI HAJIME³,OTSU HIDEHARU⁴,SATO TOSHIRO⁵

Affiliation:

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

2. Department of Physics, Nagoya University, Nagoya 464-6801, Japan

3. Chubu Polytechnic Center, Komaki, Aichi 485-0825, Japan

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

5. Faculty of Political Science and Economics, Matsusaka University, Matsusaka, Mie 515-0044, Japan

Abstract

Quantum mechanics on manifolds is not unique, and in general an infinite number of inequivalent quantizations can be considered. These are specified by the induced spin and the induced gauge structures on the manifold. The configuration space of the collective mode in the Skyrme model can be identified with S3 and thus the quantization is not unique. This leads to the different predictions for the physical observables.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X99001445

Reference11 articles.

1. The geometry of inequivalent quantizations

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

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

4. QUANTUM MECHANICS ON Sn AND MERON SOLUTION

5. Induced Gauge Structure of Quantum Mechanics on SD

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