DOUBLE WELL POTENTIAL: PERTURBATION THEORY, TUNNELING, WKB (BEYOND INSTANTONS)
نویسندگان
چکیده
منابع مشابه
New instantons in the double - well potential
A new instanton solution is found in the quantum-mechanical double-well potential with a four-fermion term. The solution has finite action, S = −m3 3λ − ( mA 4 √ 2λ + g 261m 8960 ) ǫξiξjξkξl, where A is a bosonic collective coordinate, ξi, i = 1, ..., 4 are fermionic collective coordinates and g,m and λ are coupling constants. We explain why in general the instanton action can depend on collect...
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The large k asymptotics (perturbation series) for integrals of the form ∫ F μe ikS , where μ is a smooth top form and S is a smooth function on a manifold F , both of which are invariant under the action of a symmetry group G, may be computed using the stationary phase approximation. This perturbation series can be expressed as the integral of a top form on the space M of critical points of S m...
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A new solution of the Euclidean equations of motion is found for the quantummechanical double-well potential with a four-fermion term. It extends the usual kinkinstanton solution in which both the kink field and the fermionic fields contain a finite number of new terms which are polynomial in the fermionic collective coordinates. The solution has finite action, S = −m3 3λ + 9 140 mg ǫξiξjξkξl, ...
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We investigate the effect of anharmonicity on the WKB approximation in a double well potential. By incorporating the anharmonic perturbation into the WKB energy splitting formula we show that the WKB approximation can be greatly improved in the region over which the tunneling is appreciable. We also observe that the usual WKB results can be obtained from our formalism as a limiting case in whic...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2010
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x10048937