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Phase shift operator and cyclic evolution in finite dimensional Hilbert space

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Ramandeep S. Johal

Quantum Physics · Submitted 24 Mar 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.

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arXiv IDquant-ph/0003114 (version 1)
Pith IDAIVCWK4L, Pith's permanent record of this paper and its review
CitationRamandeep S. Johal. "Phase shift operator and cyclic evolution in finite dimensional Hilbert space." arXiv:quant-ph/0003114 (2000). https://pith.science/paper/AIVCWK4L
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,889 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.17 · human participants 0.02 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.67 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. background 0.63 0.55 0.05 asserted 0.51
s1 It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. gap 0.58 0.34 0.19 asserted 0.93
s2 We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement. contribution 0.56 0.86 0.70 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.62.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We address the problem of phase shift operator acting as time evolution operator in Pegg-Barnett formalism. It is argued that standard shift operator is inconsistent with the behaviour of the state vector under cyclic evolution. We consider a generally deformed oscillator algebra at q-root of unity, as it yields the same Pegg-Barnett operator and show that shift operator meets our requirement.

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