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Analytical Treatment of Quantized Electromagnetic Field: Some Statistical Properties of the quantized coupled Oscillators (Mathematical and Physical aspects) - Couverture souple

Abdalla, M.Sebaweh; M. Nassar, M.

 
9783639328158: Analytical Treatment of Quantized Electromagnetic Field: Some Statistical Properties of the quantized coupled Oscillators (Mathematical and Physical aspects)
Couverture souple
ISBN 10 : 3639328159 ISBN 13 : 9783639328158
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

This book contains four main chapters.In the first three chapters we have considered the mutual interaction between three coupled oscillators, while the last main chapter we have considered the problem of two coupled oscillators. In the second chapter we examined the case in which the system contains the rotating and the counter rotating terms. The wave function,the Wigner function, as well as the Greens function in addition to the squeezing phenomenon are presented.In the third chapter we introduced the transition amplitude, however, for a different form of the system where the time-dependent is involved. In chapter four the effect of the phases is considered where the correlation and cross correlation functions are presented, this in addition to the quasi-probability distribution functions. In the fifth chapter we considered the most general time-dependent two coupled oscillators under the action of a stochastic driving force. The solution of the equations of motion beside the wave function are obtained, however, under a certain integrability condition where the relation between this condition and the stochastic force is considered.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book contains four main chapters.In the first three chapters we have considered the mutual interaction between three coupled oscillators, while the last main chapter we have considered the problem of two coupled oscillators. In the second chapter we examined the case in which the system contains the rotating and the counter rotating terms. The wave function,the Wigner function, as well as the Greens function in addition to the squeezing phenomenon are presented.In the third chapter we introduced the transition amplitude, however, for a different form of the system where the time-dependent is involved. In chapter four the effect of the phases is considered where the correlation and cross correlation functions are presented, this in addition to the quasi-probability distribution functions. In the fifth chapter we considered the most general time-dependent two coupled oscillators under the action of a stochastic driving force. The solution of the equations of motion beside the wave function are obtained, however, under a certain integrability condition where the relation between this condition and the stochastic force is considered.

Biographie de l'auteur

M.Sebaweh Abdalla, Ph.D (Mathematics) London University,United Kingdom(1982).At present Professor of Applied Mathematic King Saud Uiversity,Saudi Arabia. M.M.Nassar,Ph.D (Mathematics)King Saud University,Saudi Arabia. (2008). At present Assistant Professor of Mathematics,University of Shaqra, College of Science and Arts Shaqra Saudi Arabia

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2011
Langue
anglais
ISBN 10 
3639328159
ISBN 13 
9783639328158
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
non disponible