DOI: 10.1143/ptps.116.295. WKB Theory of Tunneling between Tori

10.1143/ptps.116.295

Crossref journal-article

Oxford University Press (OUP)

Progress of Theoretical Physics Supplement (286)

Abstract

General WKB theory of multidimensional tunneling between tori is formulated and illuminating physical picture on the effects of multidimensionality is provided. On the basis of Wilkinson's work, (1) Maslov's semiclassical wavefunction in classically accessible region is connected to the wavefunction in classically inaccessible region and (2) the latter is propagated into deep tunneling region. It is found that there exist two distinct regions of tunneling : a region where action is pure imaginary (I-region) and another region where action is complex (C-region). In I-region tunneling path can be defined by a certain classical trajectory on the inverted potential, while in C-region no tunneling path can be defined and the Huygens type wave propagation should be carried out. Moreover, wavefunction of a vibrationally excited state has nodal lines in C-region but not in I-region.

Bibliography

Takada, S., & Nakamura, H. (1994). WKB Theory of Tunneling between Tori. Progress of Theoretical Physics Supplement, 116, 295â301.

Authors 2

Shoji Takada (first)
Hiroki Nakamura (additional)

References 9 Referenced 3

{'key': '2021070723541027400_R1', 'first-page': '3346', 'volume': 'D8', 'author': 'Banks', 'year': '1973', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Banks (1973)
{'key': '2021070723541027400_R2', 'volume-title': 'The Whys of Subnuclear Physics', 'author': 'Coleman', 'year': '1979'} / The Whys of Subnuclear Physics by Coleman (1979)
{'key': '2021070723541027400_R3', 'first-page': '1762', 'volume': 'D16', 'author': 'Callan', 'year': '1977', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Callan (1977)
{'key': '2021070723541027400_R4', 'first-page': '341', 'volume': 'D21', 'author': 'Wilkinson', 'year': '1986', 'journal-title': 'Physica'} / Physica by Wilkinson (1986)
10.1103/PhysRevA.41.32 / Phys. Rev. by Huang (1990)
10.1063/1.466899 / J. Chem. Phys. by Takada (1994)
10.1103/RevModPhys.34.631 / Rev. Mod. Phys. by Herring (1962)
10.1007/978-94-009-8410-3 / Semi-Classical Approximation in Quantum Mechanics by Maslov (1981)
{'key': '2021070723541027400_R9', 'volume-title': 'Quantum Mechanics', 'author': 'Landau', 'year': '1975'} / Quantum Mechanics by Landau (1975)

Dates

Type	When
Created	18 years, 1 month ago (July 9, 2007, 8:45 p.m.)
Deposited	4 years, 1 month ago (July 7, 2021, 10:32 p.m.)
Indexed	1 year, 7 months ago (Feb. 5, 2024, 3:52 p.m.)
Issued	31 years, 7 months ago (Feb. 1, 1994)
Published	31 years, 7 months ago (Feb. 1, 1994)
Published Online	31 years, 7 months ago (Feb. 1, 1994)
Published Print	31 years, 7 months ago (Feb. 1, 1994)

Funders 0

None

BibTeX

@article{Takada_1994, title={WKB Theory of Tunneling between Tori}, volume={116}, ISSN={0375-9687}, url={http://dx.doi.org/10.1143/ptps.116.295}, DOI={10.1143/ptps.116.295}, journal={Progress of Theoretical Physics Supplement}, publisher={Oxford University Press (OUP)}, author={Takada, Shoji and Nakamura, Hiroki}, year={1994}, month=feb, pages={295–301} }

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