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WKB Approximation

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Introductory Quantum Mechanics

Part of the book series: UNITEXT for Physics ((UNITEXTPH))

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Notes

  1. 1.

    I took these values from the lecture notes of Professor Klaus Schulten on the web site http://www.ks.uiuc.edu/Services/Class/PHYS480/.

  2. 2.

    L.F. Barrágan-Gil and A. Camacho, Modern Physics Letters 22, 2675–2687 (2007) prove that a lower bound to the ground state energy can be obtained using WKB considerations for potentials that vary as x q for x > 0 and are infinite for x < 0, provided 1 < q < 5/2. However the lower bound they obtain is lower than that which would be calculated using the WKB quantization condition.

  3. 3.

    See H. Friedtich and J. Trost, Nonintegral Maslov indices, Physical Review A 54, 1136–1145 (1996). I thank R. Shakeshaft for pointing out this reference to me.

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Berman, P.R. (2018). WKB Approximation. In: Introductory Quantum Mechanics. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-68598-4_16

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