Doublewell Tunneling via the Feynman-Kac Formula
<p>We discuss asymptotics of the heat kernel [equation; see abstract in scanned thesis for details] and its x-derivatives when T, λ → ∞ and (T/λ) → 0 where H(λ) = - ((Δ/2) + λ²V) and where V is a double well. When the groundstate is localized in both wells for λ large we derive, by the Feynman...
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| Format: | Others |
| Language: | en |
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1988
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| Online Access: | https://thesis.library.caltech.edu/3352/3/Hardarson_a_1988.pdf Hardarson, Askell (1988) Doublewell Tunneling via the Feynman-Kac Formula. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/34ks-xy63. https://resolver.caltech.edu/CaltechETD:etd-09062005-152643 <https://resolver.caltech.edu/CaltechETD:etd-09062005-152643> |
Internet
https://thesis.library.caltech.edu/3352/3/Hardarson_a_1988.pdfHardarson, Askell (1988) Doublewell Tunneling via the Feynman-Kac Formula. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/34ks-xy63. https://resolver.caltech.edu/CaltechETD:etd-09062005-152643 <https://resolver.caltech.edu/CaltechETD:etd-09062005-152643>