Abstract
The scattering of a quantum charged particle on the hyperbolic plane in the Abelian Aharonov-Bohm field is considered. S-matrix, scattering amplitude and its flat space limit are constructed in a closed form by the Sommerfeld integral approach.
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References
Aharonov, Y. and Bhom, P.,Phys. Rev. 115, 485 (1959).
Zhitomirskaja, S. Ya. and Mandelstam, V. A.,Teor. Mat. Fiz. 86, 353 (1991).
Schulman, L. S.,Phys. Rev. 176, 1558 (1968).
Rudin, H. E., The Sommerfeld integral approach to the Aharonov-Bohm effect, Preprint IPRT#04/93, St. Petersburg, 1993.
Comtet, A.,Ann. Phys. 173, 185 (1987).
Pnuely, A., Scattering matrices and conductances of leaky tori, accepted for publication inAnn. Phys.
Avron, J. and Pnuely, A., Landau Hamiltonians on symmetric spaces, in S. Albeverio, J. E. Fenstad, H. Holden and T. Lindstrom (eds),Ideas and Methods in Quantum and Statistical Physics, vol. 2, Cambridge University Press, 1992.
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Kuperin, Y.A., Romanov, R.V. & Rudin, H.E. Scattering on the hyperbolic plane in the Aharonov-Bohm gauge field. Lett Math Phys 31, 271–278 (1994). https://doi.org/10.1007/BF00762789
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DOI: https://doi.org/10.1007/BF00762789