Exactly Solvable Q-Extended Nonlinear Classical And Quantum Models
¿Engül Nalc¿ (u. a.)
ISBN 10: 3659619698 ISBN 13: 9783659619694
Published by LAP LAMBERT Academic Publishing, 2014
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Exactly Solvable Q-Extended Nonlinear Classical And Quantum Models | ¿Engül Nalc¿ (u. a.) | Taschenbuch | 272 S. | Englisch | 2014 | LAP LAMBERT Academic Publishing | EAN 9783659619694 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 105017799
Synopsis:
The quantum or q-calculus is based on finite difference re-scaling and first results in it belong to Euler and Gauss. Developed by Fermat, Jackson, Heine, Jacobi, Ramanujan etc, in XX century it was rediscovered as symmetry of quantum models related to quantum algebras and quantum groups. Noncommutative geometry, fractals, hydrodynamics and quantum theory are fields of its applications.The book is devoted to basic principles of q-caluculs and applications to classical and quantum linear and nonlinear problems. Starting from notion of q-number and q-derivative we study classical and quantum oscillators, heat and Burgers equations. We introduce the concepts of q-analogs of shock solitons, traveling waves and analytic functions, and develop multiple q-calculus to study multi-dimensional problems. By recognizing Fibonacci numbers as q-calculus with golden ratio bases, we construct nonlinear quantum oscillator with Fibonacci spectrum. The book is self contained and pedagogically written as an introduction to the subject for students at advanced undergraduate and graduate level from science and engineering specialties. Also it could be a valuable source for researchers in the field.
About the Author: Sengul Nalci,MSc in Mathematics and Research Assistant at Izmir Institute of Technology. Field of study:q-Calculus.Oktay K. Pashaev,Diploma in Physics–Lomonosov Moscow State University,PhD–JINR, Dubna:Professor of Mathematics at Izmir Institute of Technology,Turkey.Fields of study:solitons,mathematical physics,hydrodynamics and quantum physics.
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Bibliographic Details
Title: Exactly Solvable Q-Extended Nonlinear ...
Publisher: LAP LAMBERT Academic Publishing
Publication Date: 2014
Binding: Taschenbuch
Condition: Neu