publication . Preprint . Article . 2001

Renormalisation in Quantum Mechanics, Quantum Instantons and Quantum Chaos

H. Jirari; H. Kröger; X.Q. Luo; K.J.M. Moriarty;
Open Access English
  • Published: 05 Feb 2001
Abstract
We suggest how to construct non-perturbatively a renormalized action in quantum mechanics. We discuss similarties and differences with the standard effective action. We propose that the new quantum action is suitable to define and compute quantum instantons and quantum chaos.
Subjects
arXiv: High Energy Physics::Lattice
free text keywords: Quantum Physics, Applied Mathematics, Analysis, Quantum dynamics, Quantum simulator, Quantum technology, Quantum process, Quantum chaos, Quantum mechanics, Quantum statistical mechanics, Quantum dissipation, Open quantum system, Physics
Related Organizations
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
18 references, page 1 of 2

[1] E.V. Shuryak, Nucl. Phys. B(Proc. Suppl.)83-84(2000)103.

[2] A.D. Linde, Inflation and Quantum Cosmology, Acad. Press, San Diego (1990).

[3] A. Starobinsky, Phys. Lett. B91(1980)99.

[4] M.Y. Khlopov, Cosmoparticle Physics, World Scientific, Singapore (1998).

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

[6] H. Friedrich and D. Wintgen, Phys. Repts. 183(1989)37.

[7] S.W. McDonald and A.N. Kaufman, Phys. Rev. Lett. 42(1979)1189.

[8] H.J. Sto¨ckmann., Quantum Chaos, Cambridge Univ. Press, Cambridge (1999).

[9] O. Bohigas, M.J. Giannoni and C. Schmidt, Phys. Rev. Lett. 52(1984)1.

[10] G.P. Lepage, nucl-th/9706029.

[11] J.F. Donoghue, E. Golowich and B. R. Holstein, Dynamics of the Standard Model, Cambridge Univ. Press, Cambridge (1992). [OpenAIRE]

[12] G. Jona-Lasinio, Nuov. Cim. 34(1964)1790.

[13] S. Coleman and E. Weinberg, Phys. Rev. D7(1973)1888.

[14] L. Dolan and R. Jackiw, Phys. Rev. D9(1974)3320.

[15] F. Cametti, G. Jona-Lasinio, C. Presilla and F. Toninelli, quant-ph/9910065.

18 references, page 1 of 2
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