Phase operator for the photon, an index theorem, and quantum anomaly

dc.creatorFujikawa, Kazuo
dc.date1995-09-23
dc.date.accessioned2026-07-07T04:21:29Z
dc.date.available2026-07-07T04:21:29Z
dc.descriptionAn index relation $dim\ ker\ a - dim\ ker\ a^{\dagger} = 1$ is satisfied by the creation and annihilation operators $a^{\dagger}$ and $a$ of a harmonic oscillator. Implications of this analytic index on the possible form of the phase operator are discussed. A close analogy between the present phase operator problem and chiral anomaly in gauge theory, which is associated with Atiyah-Singer index theorem, is emphasized.
dc.descriptionTo be published in the Proceedings of International Symposium on Foundations of Quantum Mechanics, Tokyo, 1995
dc.identifierhttps://arxiv.org/abs/hep-th/9509128
dc.identifierhttp://arxiv.org/abs/hep-th/9509128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54336
dc.subjectHigh Energy Physics - Theory
dc.titlePhase operator for the photon, an index theorem, and quantum anomaly
dc.typetext

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