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Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics

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Jung-Hoon Kim, Hai-Woong Lee

Quantum Physics · Submitted 4 Apr 1999

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

The authors' main claim An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/9904012 (version 2)
Pith ID7XHF4H72, Pith's permanent record of this paper and its review
CitationHai-Woong Lee, Jung-Hoon Kim. "Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics." arXiv:quant-ph/9904012 (1999). https://pith.science/paper/7XHF4H72
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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 0.05 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.23 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.

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 Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. contribution 0.72 0.88 0.29 asserted 1.00
s1 An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. contribution 0.51 0.93 0.28 asserted 1.00
s2 The phase-space picture of quantum mechanics is discussed in connection with the present theory. contribution 0.50 0.62 0.07 asserted 0.83

What kind of paper the classifier reports this is: theoretical result 0.72 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v2
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  • full text
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  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.

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