谐振子位相算符的定义与佯谬
On the Definition of the Phase Operator of Harmonic Oscillator and Some Related Paradoxes
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摘要: 关于位相算符曾经釆用过的几种定义,都因为忽略了它的非厄米性质,而挺理论存在着一些矛盾。本文令了三个佯谬,指出,只要考虑到位相算符φ是非厄米的,这些矛盾都可以解决。并且证明了φ的确不是厄米算符。Abstract: Owing to negligence of the non-hermiticity of the phase operator, the early definitions resulted in some contradictions. In this paper, three paradoxes are discussed showing that the problem could be solved by taking into consideration the fact that the phase operator φ is non-hermitian.X-V.And it is proved that φ is non-hermitian indeed.
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