On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for x2N-anharmonic oscillators

Ian Davies; Aubrey Truman

On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for x^2N-anharmonic oscillators

Ian Davies
, Aubrey Truman

School of Engineering & Physical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Rigorous results on the Laplace expansions of conditional Wiener integrals with functional integrands having a finite number of global maxima are established. Applications are given to the Bender-Wu formula for the x ^2N-anharmonic oscillator. © 1983 American Institute of Physics.

Original language	English
Pages (from-to)	255-266
Number of pages	12
Journal	Journal of Mathematical Physics
Volume	24
Issue number	2
Publication status	Published - 1982

Cite this

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title = "On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for x2N-anharmonic oscillators",

abstract = "Rigorous results on the Laplace expansions of conditional Wiener integrals with functional integrands having a finite number of global maxima are established. Applications are given to the Bender-Wu formula for the x 2N-anharmonic oscillator. {\textcopyright} 1983 American Institute of Physics.",

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year = "1982",

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journal = "Journal of Mathematical Physics",

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AU - Davies, Ian

AU - Truman, Aubrey

PY - 1982

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M3 - Article

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VL - 24

SP - 255

EP - 266

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

ER -

On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for x^2N-anharmonic oscillators

Abstract

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