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Prog. Theor. Phys. Supplement No.127 (1997) pp. 1-92

[ Full Text PDF : FREE ACCESS (4222K) ]

Recent Developments of the Theory of Tunneling

Hideaki Aoyama,1,* Toshiyuki Harano,2 Hisashi Kikuchi,3 Ikuo Okouchi,4 Masatoshi Sato5,** and Shinya Wada4

1Faculty of Integrated Human Studies, Kyoto University, Kyoto 606-01
2Department of Physics, Kyoto University, Kyoto 606-01
3Ohu University, Koriyama 963
4Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 606-01
5Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01

(Received March 27, 1997)

Abstract:

Path-integral approach in imaginary and complex time has been proven successful in treating the tunneling phenomena in quantum mechanics and quantum field theories. Latest developments in this field, the proper valley method in imaginary time, its application to various quantum systems, complex time formalism, asympton theory for the large order analysis of the perturbation theory, are reviewed in a self-contained manner.


URL : http://ptp.ipap.jp/link?PTPS/127/1/
DOI : 10.1143/PTPS.127.1


*E-mail addresses of the authors are: aoyama@phys.h.kyoto-u.ac.jp, harano@gauge.scphys.kyoto-u.ac.jp, kikuchi@yukawa.kyoto-u.ac.jp, dai@phys.h.kyoto-u.ac.jp, msato@yukawa.kyoto-u.ac.jp and shinya@phys.h.kyoto-u.ac.jp, respectively.
**Address after April 1, 1997: Physics Department, University of Tokyo, Tokyo 113.

[ Full Text PDF : FREE ACCESS (4222K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 571-590 :
    Non-Perturbative Renormalization Group Analysis in Quantum Mechanics
    Ken-Ichi Aoki, Atsushi Horikoshi, Masaki Taniguchi and Haruhiko Terao
  2. Progress of Theoretical Physics Vol. 110 No. 3 (2003) pp. 589-603 :
    Caustics in the Grassmann Integral
    Taro Kashiwa and Tomohiko Sakaguchi

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