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WKB Approximation in Quantum Mechanics

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Abstract

Wentzel–Kramers–Brillouin (WKB) or quasi-classical approximation is one of the most important approximation methods in quantum mechanics and mathematical physics. This is explained by several factors.

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References

  1. L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd edn. (Pergamon, Oxford, 1977)

    Google Scholar 

  2. A.B. Migdal, Qualitative Methods in Quantum Theory (Benjamin, New York, 1977)

    MATH  Google Scholar 

  3. L.I. Schiff, Quantum Mechanics, 2nd edn. (McGraw-Hill, New York, 1955)

    MATH  Google Scholar 

  4. H.A. Kramers, Z. Phys. 39, 828 (1926)

    Article  ADS  MATH  Google Scholar 

  5. W.H. Furry, Phys. Rev. 71, 360 (1947)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. A.B. Migdal, V.P. Krainov, Approximation Methods in Quantum Mechanics (Benjamin, New York, 1969)

    Google Scholar 

  7. V.M. Galitsky, B.M. Karnakov, V.I. Kogan, Problems in Quantum Mechanics, 2nd edn. (Nauka, Moscow 1992, in Russian)

    Google Scholar 

  8. B.M. Karnakov, V.P. Krainov, Quasi-Classical Approximation in Quantum Mechanics (WKB-Method) (MEPhI Publishing, Moscow 1992, in Russian)

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  9. M. Abramowitz, I.A. Stegun (eds.), Handbook of Mathematical Functions (National Bureau of Standards, Washington 1964)

    Google Scholar 

  10. L.D. Landau, E.M. Lifshitz, Mechanics (Pergamon, Oxford, 1977)

    Google Scholar 

  11. R.E. Langer, Phys. Rev. 51, 669 (1937)

    Article  ADS  Google Scholar 

  12. I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965)

    Google Scholar 

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Correspondence to Boris Mikhailovich Karnakov .

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Karnakov, B.M., Krainov, V.P. (2013). WKB Approximation in Quantum Mechanics. In: WKB Approximation in Atomic Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31558-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-31558-9_1

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  • Online ISBN: 978-3-642-31558-9

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