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WKB Expansion for arbitrary Hamiltonians

ВКБ-разложение для произвольных Гамильтонианов

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The WKB expansion for an arbitrary Hamiltonian is computed by using functional integral techniques. All the higher-order corrections can be expressed in terms of one of the Green’s functions of the Jacobi operator of the associated classical problem.

Riassunto

Si calcola lo sviluppo di WKB per un hamiltoniano arbitrario mediante le tecniche dell'integrale funzionale. Tutte le correzioni di ordine superiore si possono esprimere in termini di una delle funzioni di Green dell'operatore di Jacobi del problema classico associato.

Резюме

Используя технику функционального интегрирования, вычисляется ВКБ-разложение для произвольных Гамильтонианов. Все поправки высших порядков могут быть выражены через гриновские функции оператора Якоби для классической проблемы.

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References

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Author information

Author notes

  1. F. Langouche

    Present address: Research Assistant Inter-University Institute for Nuclear Sciences, Belgium

  2. D. Roekaerts

    Present address: Research Assistant National Fund for Scientific Research, Belgium

Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030, Leuven, Belgium

    F. Langouche, D. Roekaerts & E. Tirapegui

Authors
  1. F. Langouche
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  2. D. Roekaerts
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  3. E. Tirapegui
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Additional information

Traduzione a cura della Redazione.

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Langouche, F., Roekaerts, D. & Tirapegui, E. WKB Expansion for arbitrary Hamiltonians. Nuov Cim A 64, 357–377 (1981). https://doi.org/10.1007/BF02773432

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  • DOI: https://doi.org/10.1007/BF02773432

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