A Gutzwiller trace formula for large hermitian matrices. / Bolte, Jens; Egger, Sebastian; Keppeler, Stefan.

In: Reviews in Mathematical Physics, Vol. 29, No. 8, 2017.

Research output: Contribution to journalArticlepeer-review

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A Gutzwiller trace formula for large hermitian matrices. / Bolte, Jens; Egger, Sebastian; Keppeler, Stefan.

In: Reviews in Mathematical Physics, Vol. 29, No. 8, 2017.

Research output: Contribution to journalArticlepeer-review

Harvard

Bolte, J, Egger, S & Keppeler, S 2017, 'A Gutzwiller trace formula for large hermitian matrices', Reviews in Mathematical Physics, vol. 29, no. 8. https://doi.org/10.1142/S0129055X17500271

APA

Bolte, J., Egger, S., & Keppeler, S. (2017). A Gutzwiller trace formula for large hermitian matrices. Reviews in Mathematical Physics, 29(8). https://doi.org/10.1142/S0129055X17500271

Vancouver

Bolte J, Egger S, Keppeler S. A Gutzwiller trace formula for large hermitian matrices. Reviews in Mathematical Physics. 2017;29(8). https://doi.org/10.1142/S0129055X17500271

Author

Bolte, Jens ; Egger, Sebastian ; Keppeler, Stefan. / A Gutzwiller trace formula for large hermitian matrices. In: Reviews in Mathematical Physics. 2017 ; Vol. 29, No. 8.

BibTeX

@article{03891bc7e12e4df4afa5d58d259b7de5,
title = "A Gutzwiller trace formula for large hermitian matrices",
abstract = "We develop a semiclassical approximation for the dynamics of quantum systems in finite-dimensional Hilbert spaces whose classical counterparts are defined on a toroidal phase space. In contrast to previous models of quantum maps, the time evolution is in continuous time and, hence, is generated by a Schr{\"o}dinger equation. In the framework of Weyl quantization, we construct discrete, semiclassical Fourier integral operators approximating the unitary time evolution and use these to prove a Gutzwiller trace formula. We briefly discuss a semiclassical quantization condition for eigenvalues as well as some simple examples.",
author = "Jens Bolte and Sebastian Egger and Stefan Keppeler",
year = "2017",
doi = "10.1142/S0129055X17500271",
language = "English",
volume = "29",
journal = "Reviews in Mathematical Physics",
issn = "0129-055X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "8",

}

RIS

TY - JOUR

T1 - A Gutzwiller trace formula for large hermitian matrices

AU - Bolte, Jens

AU - Egger, Sebastian

AU - Keppeler, Stefan

PY - 2017

Y1 - 2017

N2 - We develop a semiclassical approximation for the dynamics of quantum systems in finite-dimensional Hilbert spaces whose classical counterparts are defined on a toroidal phase space. In contrast to previous models of quantum maps, the time evolution is in continuous time and, hence, is generated by a Schrödinger equation. In the framework of Weyl quantization, we construct discrete, semiclassical Fourier integral operators approximating the unitary time evolution and use these to prove a Gutzwiller trace formula. We briefly discuss a semiclassical quantization condition for eigenvalues as well as some simple examples.

AB - We develop a semiclassical approximation for the dynamics of quantum systems in finite-dimensional Hilbert spaces whose classical counterparts are defined on a toroidal phase space. In contrast to previous models of quantum maps, the time evolution is in continuous time and, hence, is generated by a Schrödinger equation. In the framework of Weyl quantization, we construct discrete, semiclassical Fourier integral operators approximating the unitary time evolution and use these to prove a Gutzwiller trace formula. We briefly discuss a semiclassical quantization condition for eigenvalues as well as some simple examples.

U2 - 10.1142/S0129055X17500271

DO - 10.1142/S0129055X17500271

M3 - Article

VL - 29

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 8

ER -