Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators
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Publication:4832792
DOI10.1063/1.1506181zbMath1060.35117OpenAlexW1970911224MaRDI QIDQ4832792
Giovanni Rastelli, Sergio Benenti, C. Chanu
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1506181
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Hamilton-Jacobi equations in mechanics (70H20)
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Cites Work
- Functorial geometric quantization and Van Hove's theorem
- Separable systems of Stäckel
- On harmonic and Killing vector fields
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
- On the principles of elementary quantum mechanics