publication . Preprint . 2003

Nonlinear Dynamics In Quantum Physics -- Quantum Chaos and Quantum Instantons

Kröger, H.;
Open Access English
  • Published: 21 Feb 2003
We discuss the recently proposed quantum action - its interpretation, its motivation, its mathematical properties and its use in physics: quantum mechanical tunneling, quantum instantons and quantum chaos.
free text keywords: Quantum Physics
Funded by
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
Download from
20 references, page 1 of 2

[1] C. Macchiavello, G.M. Palma and A. Zelinger, Quantum Computation and Quantum information Theory, World Scietific, Singapore (2000).

[2] D. Bouwmeester, A. Ekert and A. Zeilinger, The Physics of Quantum Information, Springer, Berlin (2000).

[3] S. Coleman, Aspects of Symmetry, Cambridge University Press, Cambridge (1985), p.265.

[4] B.P. Anderson and M.A. Kasevich, Macroscopic quantum interference from atomic tunnel arrays, Science 282(1998)1686. [OpenAIRE]

[5] D.A. Steck, W.H. Oskay and M.G. Raizen, Observation of chaos-assisted tunneling between islands of stability, Science 293(2001)274. [OpenAIRE]

[6] W.K. Hensinger, H. Ha¨ffner, A. Browaeys, N.R. Heckenberg, K. Helmerson, C. McKenzie, G.J. Wilburn, W.D. Phillips, S.L. Roiston, H. Rubinsztein-Dunlop and B. Upcroft, Dynamical tunneling of ultracold atoms, Nature 412(2001)52.

[7] H. Jirari, H. Kr¨oger, X.Q. Luo, K.J.M. Moriarty and S.G. Rubin, Closed path integrals and the quantum action, Phys. Rev. Lett. 86(2001)187. [OpenAIRE]

[8] H. Jirari, H. Kr¨oger, X.Q. Luo, G. Melkonyan and K.J.M. Moriarty, Renormalisation in quantum mechanics, hep-th/0103027.

[9] H. Jirari, H. Kr¨oger, X.Q. Luo, K.J.M. Moriarty and S.G. Rubin, Quantum instantons and quantum chaos, Phys. Lett. A281(2001)1. [OpenAIRE]

[10] L.A. Caron, H. Jirari, H. Kr¨oger, X.Q. Luo, G. Melkonyan, and K.J.M. Moriarty, Quantum chaos at finite temperature, Phys. Lett. A288(2001)145.

[11] H. Kr¨oger, Existence of the quantum action, Phys. Rev. A65(2002)052118.

[12] A. Blu¨mel and W.P. Reinhardt, Chaos in Atomic Physics, Cambridge Univ. Press, Cambridge (1997).

[13] M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, Berlin (1990).

[14] F. Haake, Quantum Signatures of Chaos, Springer, Berlin (2001).

[15] K. Nakamura, Quantum Chaos - A New Paradigm of Nonlinear Science, Cambridge Univ. Press, Cambridge (1993).

20 references, page 1 of 2
Any information missing or wrong?Report an Issue