- 99-180 Masao Hirokawa
- Canonical Quantization on a Doubly Connected Space
and the Aharonov-Bohm Phase
(134K, LATeX 2e)
May 17, 99
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Abstract. We consider the canonical quantization (Schr\"{o}dinger representation)
on a doubly connected space $\Omega_{R} \equiv {\Bbb R}^{2}
\setminus \{
(x\, ,\, y)\, |\, x^{2} + y^{2} \le R^{2}\}$\,
($R > 0$), and find the Aharonov-Bohm phase in Weyl's canonical
commutation relations.
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99-180.tex