Stability of localized quantum states on the top of a barrier and some of its consequences: the specific case of a symmetric double well potential

Adhikari, S. ; Bhattacharyya, S. P. ; Dutta, P. (1996) Stability of localized quantum states on the top of a barrier and some of its consequences: the specific case of a symmetric double well potential Chemical Physics Letters, 248 (3-4). pp. 218-222. ISSN 0009-2614

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000926...

Related URL: http://dx.doi.org/10.1016/0009-2614(95)01305-9

Abstract

It is demonstrated that barriers, like potential wells, can support localised states. However, barrier-localized states are seen to be much more short-lived compared to states localised in potential wells. These features are revealed with reference to a symmetric double-well potential by using the exterior complex-scaled Fourier grid Hamiltonian method. Some implications of the results are pointed out.

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