QUANTUM MECHANICS ON Sn AND MERON SOLUTION-Reference-Cited by-同舟云学术

QUANTUM MECHANICS ON Sn AND MERON SOLUTION

Published:1998-01-10 Issue:01 Volume:13 Page:15-21
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

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

Affiliation:

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

2. Department of Physics, Nagoya University, Nagoya 464-01, Japan

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

4. Faculty of General Education, Aichi University, Toyohashi, Aichi 441, Japan

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

Abstract

A particle in quantum mechanics on manifolds couples to the induced topological gauge field that characterizes the possible inequivalent quantizations. For instance, the gauge potential induced on S2 is that of a magnetic monopole located at the center of S2. We find that the gauge potential induced on S3(S2n+ 1) is that of a meron (generalized meron) also sitting at the center of S3(S2n+ 1).

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/S0217732398000048

Reference7 articles.

1. ON QUANTUM MECHANICS ON COMPACT SPACE

2. BPST instanton and spin from inequivalent quantizations

3. GAUGE STRUCTURE ON SD

4. Induced Gauge Structure of Quantum Mechanics on SD

5. Classical solutions ofSU(2)Yang—Mills theories

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