Semiclassics for Quantum Systems with Internal Degrees of Freedom : The Semiclassical Correspondence Generalized

Language: English

Published by VDM Verlag Dr. Müller, VDM Verlag Dr. Müller E.K., 2008

3639032012 / 9783639032017

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Neuware - We study semiclassical properties of quantum systemswith internal degrees of freedom. Whiletranslational degrees of freedom are described ascoordinates on the cotangent bundle of aconfiguration manifold, the internal ones find theirclassical description on more general symplecticmanifolds. The quantum space forthe translational degrees of freedom, squareintegrable functions on the configuration space, hasto be 'tensored' with the representation space forthe internal ones. Consequently, quantum observablesare operators that take values in the endomorphismsof the representation space for internal degrees of freedom. One part of this work is concerned with the generalization of semiclassical techniques to the non-scalar setting. In particular, we study the semiclassical time evolution of observables and we prove a generalization of Egorov's Theorem and asemiclassical limit formula of Szegö-type. Weemploy a quantization scheme for the internaldegrees of freedom which enables us to map theirquantum character to a classical model and thusobtain a classical description for both thetranslational and internal degrees of freedom.…

Seller Inventory # 9783639032017

Title
Semiclassics for Quantum Systems with Internal Degrees of Freedom : The Semiclassical Correspondence Generalized
Author
Rainer Glaser
Publisher
VDM Verlag Dr. Müller, VDM Verlag Dr. Müller E.K.
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3639032012
ISBN 13
9783639032017
Item weight
399 grams
Dimensions
220x150x15 mm

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