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Quantum Hamilton-Jacobi Formalism

Über Quantum Hamilton-Jacobi Formalism

This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allowscomputation of eigenvalues of quantum mechanical potential problems without solving for thewave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advancedundergraduates having knowledge of complex variables and quantum mechanics will find thisas an interesting method to obtain the eigenvalues and eigen-functions. The discussion oncomplex zeros of the wave function gives intriguing new results which are relevant foradvanced students and young researchers. Moreover, a few open problems in research arediscussed as well, which pose a challenge to the mathematically oriented readers.

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  • Sprache:
  • Englisch
  • ISBN:
  • 9783031106231
  • Einband:
  • Taschenbuch
  • Seitenzahl:
  • 128
  • Veröffentlicht:
  • 6. Oktober 2022
  • Ausgabe:
  • 22001
  • Abmessungen:
  • 155x8x235 mm.
  • Gewicht:
  • 207 g.
  Versandkostenfrei
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Verlängerte Rückgabefrist bis 31. Januar 2025

Beschreibung von Quantum Hamilton-Jacobi Formalism

This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allowscomputation of eigenvalues of quantum mechanical potential problems without solving for thewave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advancedundergraduates having knowledge of complex variables and quantum mechanics will find thisas an interesting method to obtain the eigenvalues and eigen-functions. The discussion oncomplex zeros of the wave function gives intriguing new results which are relevant foradvanced students and young researchers. Moreover, a few open problems in research arediscussed as well, which pose a challenge to the mathematically oriented readers.

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