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Wigner's Problem and Alternative Commutation Relations for Quantum Mechanics

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V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, F. Zaccaria

Quantum Physics · Submitted 30 Nov 1996

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

The authors' main claim It is shown, that for quantum systems the vectorfield associated with the equations of motion may admit alternative Hamiltonian descriptions, both in the Schr\"odinger and Heisenberg pictures.

how it is stated · asserted 0.75 read the record →

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arXiv IDquant-ph/9612007 (version 1)
Pith IDZ4KID74M, Pith's permanent record of this paper and its review
CitationE. C. G. Sudarshan, F. Zaccaria, G. Marmo, V. I. Man'ko. "Wigner's Problem and Alternative Commutation Relations for Quantum Mechanics." arXiv:quant-ph/9612007 (1996). https://pith.science/paper/Z4KID74M
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,242 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

It is shown, that for quantum systems the vectorfield associated with the equations of motion may admit alternative Hamiltonian descriptions, both in the Schr\"odinger and Heisenberg pictures. We illustrate these ambiguities in terms of simple examples.

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 It is shown, that for quantum systems the vectorfield associated with the equations of motion may admit alternative Hamiltonian descriptions, both in the Schr\"odinger and Heisenberg pictures. result 0.92 0.88 0.86 asserted 0.75
s1 We illustrate these ambiguities in terms of simple examples. method 0.59 0.89 0.05 asserted 0.85

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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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

It is shown, that for quantum systems the vectorfield associated with the equations of motion may admit alternative Hamiltonian descriptions, both in the Schr\"odinger and Heisenberg pictures. We illustrate these ambiguities in terms of simple examples.

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