Abstract
Tunnelling with dissipation is studied in a model describing the sub-barrier scattering of a particle coupled to an environment of oscillators. The influence functional formulation of Feynman's path integral approach is used. The appearance of advanced forces in the semiclassical treatment of the process as well as other specific features due to the interplay between tunnelling and dissipation are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Caldeira, A.O., Leggett, A.J.: Phys. Rev. Lett.46, 211 (1981); Ann. Phys.149, 374 (1983)
Leggett, A.J., et al.: Rev. Mod. Phys.59, 1 (1987);
Grabert, H., Weiss, U.: Phys. Rev. Lett.54, 1603 (1985)
Hänggi, P.: J. Stat. Phys.42, 105 (1986);
Zwerger, W.: Z. Phys. B-Condensed Matter51, 301 (1983);
Waxman, D., Leggett, A.J.: Phys. Rev. B32, 4450 (1985);
Grabert, H.: In: Tunneling, Jassner, J., Pullmann, B. (eds.), vol. 19, p. 165, Dordrecht: Reidel 1986
Schwartz, D.B., Sen, B., Archie, C.N., Lukens, J.E.: Phys. Rev. Lett.55, 1547 (1985)
Brink, D.M., Nemes, M.C., Vautherin, D.: Ann. Phys. (N.Y.)148, 171 (1983);
Dagdeviren, N.R., Weidenmüller, H.A.: Phys. Lett. B186, 267 (1987)
Fröbrich, P.: Lecture Notes in Physics. Vol. 317, p. 61. Berlin, Heidelberg, New York: Springer 1988
Bruinsma, R., Bak, Per.: Phys. Rev. Lett.56, 420 (1986)
Möhring, K., Smilansky, U.: Nucl. Phys. A338, 227 (1980)
Feynman, R.P., Hibbs, A.R.: Quantum mechanics and path integrals. New York; McGraw Hill 1965
Balantekin, A.B., Takigawa, N.: Ann. Phys.160, 441 (1985)
Pechukas, P.: Phys. Rev.181, 1974 (1969)
Zwerger, W.: Z. Phys. B-Condensed Matter47, 129 (1982)
Möhring, K., Smilansky, U.: J. Chem. Phys.74, 4509 (1981)
Brink, D.M., Smilansky, U.: Nucl. Phys. A405, 301 (1983)
Möhring, K., Levit, S., Smilansky, U.: Ann. Phys. (NY)127, 198 (1980)
Schmid, A.: J. Low Temp. Phys.49, 609 (1982)
Zwerger, W.: Phys. Rev. A31, 1745 (1985)
Esbensen, H.: Nucl. Phys. A352, 147 (1981)
Jacobs, P.M., Smilansky, U.: Phys. Lett. B127, 313 (1983)
Landau, L.D., Lifshits, E.M.: Quantum mechanics. Problem 25.4. Oxford: Pergamon Press 1958
Krappe, H.J., Möhring, K., Nemes, M.C., Rossner, H.: Z. Phys. A-Atoms and Nuclei314, 23 (1983)
Ford, G.W., Lewis, J.T., O'Connell, R.F.: Phys. Lett. A128, 29 (1988)
Dekker, H.: Phys. Rev. A38, 6351 (1988)
Grabert, H., Weiss, U.: Phys. Rev. Lett.53, 1787 (1984)
Miller, W.H., Schwartz, S.D., Tromp, J.W.: J. Chem. Phys.79, 4889 (1983);
Yamashita, K., Miller, W.H.: J. Chem. Phys.82, 5475 (1985)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fröbrich, P., Lipperheide, R. & Möhring, K. On tunnelling with dissipation. Z. Physik B - Condensed Matter 78, 325–332 (1990). https://doi.org/10.1007/BF01307853
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01307853