Quantum Dynamics for Classical Systems: With Applications of the Number Operator - Rilegato

Bagarello, Fabio

Rilegato

ISBN 10: 1118370686 ISBN 13: 9781118370681

Casa editrice: John Wiley & Sons Inc, 2012

Riassunto

Introduces number operators with a focus on the relationship between quantum mechanics and social science

Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results.

The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include:

• Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models
• Illustrations of the use of creation and annihilation operators for classical problems
• Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics
• Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field

Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Su questo libro

Informazioni sull'autore

FABIO BAGARELLO, PhD, is Professor in the Department of Electrical Engineering and Telecommunications, Chemical Technology, Automatic, and Mathematical Models at the University of Palermo in Italy. He is the author of over 100 journal articles and has presented lectures at several international conferences on quantum probability, functional analysis, operator algebras, wavelets, and non-hermitian quantum mechanics.

Dalla quarta di copertina

Introduces number operators with a focus on the relationship between quantum mechanics and social science

Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools&;the number operator in particular&;can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results.

The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include:

• Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models
• Illustrations of the use of creation and annihilation operators for classical problems
• Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics
• Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field

Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Dal risvolto di copertina interno

Introduces number operators with a focus on the relationship between quantum mechanics and social science
 
Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools--the number operator in particular--can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results.
 
The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include:
* Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models
* Illustrations of the use of creation and annihilation operators for classical problems
* Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics
* Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field
 
Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.

Dettagli dell'edizione

• Editore: John Wiley & Sons Inc
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1118370686
• ISBN 13: 9781118370681
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 228
• Contatto del produttore: non disponibile
• Persona responsabile: Wiley-VCH GmbH; product_safety@wiley.com; ; Boschstrasse 12; Weinheim; 69469; Germania