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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