Oscillatory Models in General Relativity

Esra Russell · Oktay K. Pashaev

Nov. 2017 · De Gruyter Studies in Mathematical Physics Boek 41 · Walter de Gruyter GmbH & Co KG

E-boek

152

Bladsye

Graderings en resensies word nie geverifieer nie. Kom meer te wete

Meer oor hierdie e-boek

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

Meer oor die skrywer

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

Gradeer hierdie e-boek

Sê vir ons wat jy dink.

Lees inligting

Slimfone en tablette

Installeer die Google Play Boeke-app vir Android en iPad/iPhone. Dit sinkroniseer outomaties met jou rekening en maak dit vir jou moontlik om aanlyn of vanlyn te lees waar jy ook al is.

Skootrekenaars en rekenaars

Jy kan jou rekenaar se webblaaier gebruik om na oudioboeke wat jy op Google Play gekoop het, te luister.

E-lesers en ander toestelle

Om op e-inktoestelle soos Kobo-e-lesers te lees, moet jy ’n lêer aflaai en dit na jou toestel toe oordra. Volg die gedetailleerde hulpsentrumaanwysings om die lêers na ondersteunde e-lesers toe oor te dra.

Gee onwettige inhoud aan