Oscillatory Models in General Relativity (De Gruyter Studies in Mathematical Physics, 41) - Hardcover

Buch 39 von 53: De Gruyter Studies in Mathematical Physics

Russell, Esra; Pashaev, Oktay K.

 
9783110514957: Oscillatory Models in General Relativity (De Gruyter Studies in Mathematical Physics, 41)
Hardcover
ISBN 10: 3110514958 ISBN 13: 9783110514957
Verlag: De Gruyter, 2017

Inhaltsangabe

The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists.

Contents
Part I: Dissipative geometry and general relativity theory
Pseudo-Riemannian geometry and general relativity
Dynamics of universe models
Anisotropic and homogeneous universe models
Metric waves in a nonstationary universe and dissipative oscillator
Bosonic and fermionic models of a Friedman–Robertson–Walker universe
Time dependent constants in an oscillatory universe

Part II: Variational principle for time dependent oscillations and dissipations
Lagrangian and Hamilton descriptions
Damped oscillator: classical and quantum theory
Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency
Riccati representation of time dependent damped oscillators
Quantization of the harmonic oscillator with time dependent parameters

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Esra Russel, New York University Abu Dhabi, United Arab Emirates, Oktay Pashaev, Izmir Institute of Technology, Turkey

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
De Gruyter
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
3110514958
ISBN 13 
9783110514957
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
152
Kontakt zum Hersteller
GPSR Kontakt
productsafety@degruyterbrill.com

Paul-Lincke-Ufer 34
Berlin
10999
Deutschland