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Can quantum mechanics and supersymmetric quantum mechanics be the multidimensional Ermakov theories?

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Publication:4227671
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DOI10.1088/0305-4470/29/4/015zbMath0917.34069OpenAlexW2022216620MaRDI QIDQ4227671

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Publication date: 26 April 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/4/015


zbMATH Keywords

Schrödinger equationRiccati-type equationErmakov-type functional invariant


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General and philosophical questions in quantum theory (81P05) Supersymmetry and quantum mechanics (81Q60) Nonlinear ordinary differential operators (34L30)


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POSSIBILITY OF A GEOMETRIC CONSTRAINT IN THE SCHRÖDINGER QUANTUM MECHANICS







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