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Semiclassics of rotation and torsion.

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Semiclassics of rotation and torsion. / Braun, Petr A.; Gerwinski, Peter; Haake, Fritz et al.
In: Zeitschrift für Physik B Condensed Matter, Vol. 100, No. 1, 03.1996, p. 115-127.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Braun, PA, Gerwinski, P, Haake, F & Schomerus, H 1996, 'Semiclassics of rotation and torsion.', Zeitschrift für Physik B Condensed Matter, vol. 100, no. 1, pp. 115-127. https://doi.org/10.1007/s002570050101

APA

Braun, P. A., Gerwinski, P., Haake, F., & Schomerus, H. (1996). Semiclassics of rotation and torsion. Zeitschrift für Physik B Condensed Matter, 100(1), 115-127. https://doi.org/10.1007/s002570050101

Vancouver

Braun PA, Gerwinski P, Haake F, Schomerus H. Semiclassics of rotation and torsion. Zeitschrift für Physik B Condensed Matter. 1996 Mar;100(1):115-127. doi: 10.1007/s002570050101

Author

Braun, Petr A. ; Gerwinski, Peter ; Haake, Fritz et al. / Semiclassics of rotation and torsion. In: Zeitschrift für Physik B Condensed Matter. 1996 ; Vol. 100, No. 1. pp. 115-127.

Bibtex

@article{f91ba65e21be42f9b554192cc8203c02,
title = "Semiclassics of rotation and torsion.",
abstract = "We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory. In the regular case when F accounts only for a linear rotation periodic-orbit theory yields the exact spectrum. In the chaotic case the first method yields the quasienergies with an accuracy of better than 3% of the mean spacing. By working in the representation where the torsional part of the Floquet matrix is diagonal our semiclassical work is mostly an application of the asymptotics of the rotation matrix, i.\,e.~of Wigner's so-calledd -functions.",
author = "Braun, {Petr A.} and Peter Gerwinski and Fritz Haake and Henning Schomerus",
year = "1996",
month = mar,
doi = "10.1007/s002570050101",
language = "English",
volume = "100",
pages = "115--127",
journal = "Zeitschrift f{\"u}r Physik B Condensed Matter",
issn = "1431-584X",
publisher = "Springer Verlag",
number = "1",

}

RIS

TY - JOUR

T1 - Semiclassics of rotation and torsion.

AU - Braun, Petr A.

AU - Gerwinski, Peter

AU - Haake, Fritz

AU - Schomerus, Henning

PY - 1996/3

Y1 - 1996/3

N2 - We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory. In the regular case when F accounts only for a linear rotation periodic-orbit theory yields the exact spectrum. In the chaotic case the first method yields the quasienergies with an accuracy of better than 3% of the mean spacing. By working in the representation where the torsional part of the Floquet matrix is diagonal our semiclassical work is mostly an application of the asymptotics of the rotation matrix, i.\,e.~of Wigner's so-calledd -functions.

AB - We discuss semiclassical approximations of the spectrum of the periodically kicked top, both by diagonalizing the semiclassically approximated Floquet matrix F and by employing periodic-orbit theory. In the regular case when F accounts only for a linear rotation periodic-orbit theory yields the exact spectrum. In the chaotic case the first method yields the quasienergies with an accuracy of better than 3% of the mean spacing. By working in the representation where the torsional part of the Floquet matrix is diagonal our semiclassical work is mostly an application of the asymptotics of the rotation matrix, i.\,e.~of Wigner's so-calledd -functions.

U2 - 10.1007/s002570050101

DO - 10.1007/s002570050101

M3 - Journal article

VL - 100

SP - 115

EP - 127

JO - Zeitschrift für Physik B Condensed Matter

JF - Zeitschrift für Physik B Condensed Matter

SN - 1431-584X

IS - 1

ER -