Articles liés à Crossover-Time in Quantum Boson and Spin Systems
Synopsis
This monograph compares classical and quantum dynamics for unstable (chaotic) systems. Characteristic times for divergence of classical and quantum solutions are estimated, and examples of classical-quantum "crossover-times" are provided. The book can be recommended to graduate students and to specialists.
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- ÉditeurSpringer
- Date d'édition2013
- ISBN 10 3662145065
- ISBN 13 9783662145067
- ReliureBroché
- Langueanglais
- Nombre de pages284
- Coordonnées du fabricantnon disponible
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Crossover-Time in Quantum Boson and Spin Systems
Edité par
Springer Berlin Heidelberg, 2013
ISBN 10 : 3662145065
ISBN 13 : 9783662145067
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph compares classical and quantum dynamics for unstable (chaotic) systems. Characteristic times for divergence of classical and quantum solutions are estimated, and examples of classical-quantum crossover-times are provided. The book can be re. N° de réf. du vendeur 5222491
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Crossover-Time in Quantum Boson and Spin Systems
Edité par
Springer Berlin Heidelberg, 2013
ISBN 10 : 3662145065
ISBN 13 : 9783662145067
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - We consider quantum dynamical systems (in general, these could be either Hamiltonian or dissipative, but in this review we shall be interested only in quantum Hamiltonian systems) that have, at least formally, a classical limit. This means, in particular, that each time-dependent quantum-mechanical expectation value X (t) has as i cl Ii -+ 0 a limit Xi(t) -+ x1 )(t) of the corresponding classical sys tem. Quantum-mechanical considerations include an additional di mensionless parameter f = iiiconst. connected with the Planck constant Ii. Even in the quasiclassical region where f~ 1, the dy namics of the quantum and classicalfunctions Xi(t) and XiCcl)(t) will be different, in general, and quantum dynamics for expectation val ues may coincide with classical dynamics only for some finite time. This characteristic time-scale, TIi., could depend on several factors which will be discussed below, including: choice of expectation val ues, initial state, physical parameters and so on. Thus, the problem arises in this connection: How to estimate the characteristic time scale TIi. of the validity of the quasiclassical approximation and how to measure it in an experiment For rather simple integrable quan tum systems in the stable regions of motion of their corresponding classical phase space, this time-scale T'' usually is of order (see, for example, [2]) const TIi. = p,li , (1.1) Q where p, is the dimensionless parameter of nonlinearity (discussed below) and a is a constant of the order of unity. N° de réf. du vendeur 9783662145067
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Crossover-Time in Quantum Boson and Spin Systems
Edité par
Springer Berlin Heidelberg Nov 2013, 2013
ISBN 10 : 3662145065
ISBN 13 : 9783662145067
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We consider quantum dynamical systems (in general, these could be either Hamiltonian or dissipative, but in this review we shall be interested only in quantum Hamiltonian systems) that have, at least formally, a classical limit. This means, in particular, that each time-dependent quantum-mechanical expectation value X (t) has as i cl Ii -+ 0 a limit Xi(t) -+ x1 )(t) of the corresponding classical sys tem. Quantum-mechanical considerations include an additional di mensionless parameter f = iiiconst. connected with the Planck constant Ii. Even in the quasiclassical region where f~ 1, the dy namics of the quantum and classicalfunctions Xi(t) and XiCcl)(t) will be different, in general, and quantum dynamics for expectation val ues may coincide with classical dynamics only for some finite time. This characteristic time-scale, TIi., could depend on several factors which will be discussed below, including: choice of expectation val ues, initial state, physical parameters and so on. Thus, the problem arises in this connection: How to estimate the characteristic time scale TIi. of the validity of the quasiclassical approximation and how to measure it in an experiment For rather simple integrable quan tum systems in the stable regions of motion of their corresponding classical phase space, this time-scale T'' usually is of order (see, for example, [2]) const TIi. = p,li , (1.1) Q where p, is the dimensionless parameter of nonlinearity (discussed below) and a is a constant of the order of unity. 284 pp. Englisch. N° de réf. du vendeur 9783662145067
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Crossover-Time in Quantum Boson and Spin Systems (Lecture Notes in Physics Monographs)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9783662145067_new
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Crossover-Time in Quantum Boson and Spin Systems
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2013, 2013
ISBN 10 : 3662145065
ISBN 13 : 9783662145067
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -We consider quantum dynamical systems (in general, these could be either Hamiltonian or dissipative, but in this review we shall be interested only in quantum Hamiltonian systems) that have, at least formally, a classical limit. This means, in particular, that each time-dependent quantum-mechanical expectation value X (t) has as i cl Ii -+ 0 a limit Xi(t) -+ x1 )(t) of the corresponding classical sys tem. Quantum-mechanical considerations include an additional di mensionless parameter f = iiiconst. connected with the Planck constant Ii. Even in the quasiclassical region where f~ 1, the dy namics of the quantum and classicalfunctions Xi(t) and XiCcl)(t) will be different, in general, and quantum dynamics for expectation val ues may coincide with classical dynamics only for some finite time. This characteristic time-scale, TIi., could depend on several factors which will be discussed below, including: choice of expectation val ues, initial state, physical parameters and so on. Thus, the problem arises in this connection: How to estimate the characteristic time scale TIi. of the validity of the quasiclassical approximation and how to measure it in an experiment For rather simple integrable quan tum systems in the stable regions of motion of their corresponding classical phase space, this time-scale T'' usually is of order (see, for example, [2]) const TIi. = p,li , (1.1) Q where p, is the dimensionless parameter of nonlinearity (discussed below) and a is a constant of the order of unity.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 284 pp. Englisch. N° de réf. du vendeur 9783662145067
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Crossover-Time in Quantum Boson and Spin Systems (Lecture Notes in Physics Monographs)
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Crossover-Time in Quantum Boson and Spin Systems
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