dorsal/arxiv
View SchemaOn matrix elements of phase-angular momentum commutator in Hilbert space of arbitrary dimensions
| Authors | Ramandeep S. Johal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201090 |
| URL | https://arxiv.org/abs/quant-ph/0201090 |
Abstract
We discuss correspondence between the predictions of quantum theories for rotation angle formulated in infinite and finite dimensional Hilbert spaces, taking as example, the calculation of matrix elements of phase-angular momentum commutator. A new derivation of the matrix elements is presented in infinite space, making use of a unitary transformation that maps from the state space of periodic functions to non-periodic functions, over which the spectrum of angular momentum operator is in general, fractional. The approach can be applied to finite dimensional Hilbert space also, for which identical matrix elements are obtained.
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"abstract": "We discuss correspondence between the predictions of quantum theories for\nrotation angle formulated in infinite and finite dimensional Hilbert spaces,\ntaking as example, the calculation of matrix elements of phase-angular momentum\ncommutator. A new derivation of the matrix elements is presented in infinite\nspace, making use of a unitary transformation that maps from the state space of\nperiodic functions to non-periodic functions, over which the spectrum of\nangular momentum operator is in general, fractional. The approach can be\napplied to finite dimensional Hilbert space also, for which identical matrix\nelements are obtained.",
"arxiv_id": "quant-ph/0201090",
"authors": [
"Ramandeep S. Johal"
],
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"title": "On matrix elements of phase-angular momentum commutator in Hilbert space of arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0201090"
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