Abstract
Twenty years after they were first introduced, quantum wavefunctions scarred on classically unstable structures continue to appear in new and surprising contexts. Starting from the photoelectric effect in ultra-strong fields, the manuscript briefly reviews some of these and suggests a motivation for a more general understanding of this quantum phenomenon.
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References
Berry, M.V. Proc. Roy. Soc. London A, 413:183, 1987.
Casati, G. and B.V. Chirkov. Quantum chaos: between order and disorder: a selection of papers. Cambridge University Press, New York, 1995.
Heller, E.J. Phys. Rev. Lett., 53:1515, 1984.
Berry, M.V. Les Houches Lecture Series Session XXXV. eds. Balian, R., Kle’man, M., and Poirier, J-P., (North-Holland, Amsterdam), 453, 1981.
Bogomolny, E.B. Physica D, 31:169, 1988.
Berry, M.V. Proc. Roy. Soc. London A, 423:219, 1989.
Agam, O., and S. Fishman. Phys. Rev. Lett., 73:806, 1994.
Schanz, H., and T. Kottos. Phys. Rev. Lett., 90:23401, 2003.
Milonni, P.W., and B. Sundaram. Progress in Optics, XXXI:3, 1993.
Su, Q., J.H. Eberly, and J. Javanainen. Phys. Rev. Lett., 64:862, 1990.
Kulander, K.C., K.J. Schafer, and J.L. Krause. in Multiphoton Processes, edited by G. Mainfray, and P. Agostini (CEA-Press, Paris), 1991; ibid Phys. Rev. Lett., 66:2601, 1991.
Jensen, R.V., and B. Sundaram. Phys. Rev. Lett., 65:1964, 1990; ibid Phys. Rev. A, 47:1415, 1993.
Casati, G., I. Guarneri, and D.L. Shepelyansky. IEEE J. Quantum Electron, 24:1420, 1988.
Jensen, R.V., and B. Sundaram. Phys. Rev. A, 47:1415, 1993; Laser Physics, 3:291, 1993.
Benvenuto, F., G. Casati, and D.L. Shepelyansky. Z. Phys. B, 94:481, 1994.
Jones. R.R., and P.H. Bucksbaum. Phys. Rev. Lett., 67:3215, 1991; De Boer, M.P., J.H. Hoogenraad, R.B. Vrijen, L.D. Noordam, and H.G. Muller. Phys. Rev. Lett., 71:3263, 1993.
Van Leeuven, K. A. H., et. al. Phys. Rev. Lett., 55:2231, 1985.
Galvez, E.J., B.E. Sauer, L. Moorman, P.M. Koch, and D. Richards. Phys. Rev. Lett., 61:2011, 1988.
Jensen, R.V., M.M. Sanders, M. Saraceno, and B. Sundaram. Phys. Rev. Lett., 63:2771, 1989.
Leopold, J.G., and D. Richards. J. Phys. B, 27:2169, 1994.
Jammalamadaka, S., J. Main, and G. Wunner. Nonlinear Phenomena in Complex Systems, 2:1, 1999.
Ezra, G.S., K. Richter, G. Tanner, and D. Wintgen. J. Phys. B, 24:L413, 1991.
Sirko, L., M.R.W. Bellermann, A. Haffmans, P.M. Koch, and D. Richards. Phys. Rev. Lett., 71:2895, 1993.
Scharf, R., and B. Sundaram. Phys. Rev. E, 49:R2509, 1994.
Marcus, C.M., A.J. Rimberg, R.M. Westervelt, P.F. Hopkins, and A.C. Gossard. Phys. Rev. Lett., 69:506, 1992; Marcus, C.M., R.M. Westervelt, P.F. Hopkins, and A.C. Gossard. Chaos, 3:643, 1993.
Akis, R., J.P. Bird, and D.K. Ferry. Appl. Phys. Lett., 81:129, 2002.
Greenbaum, B.D., S. Habib, K. Shizume, and B. Sundaram. quant-ph/0401174.
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Sundaram, B. (2006). Scarred states in strongly coupled quantum systems. In: Khanna, F., Matrasulov, D. (eds) Non-Linear Dynamics and Fundamental Interactions. NATO Science Series II: Mathematics, Physics and Chemistry, vol 213. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3949-2_3
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DOI: https://doi.org/10.1007/1-4020-3949-2_3
Publisher Name: Springer, Dordrecht
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