Oscillatory Models in General Relativity

Β·
· De Gruyter Studies in Mathematical Physics Книга 41 · Walter de Gruyter GmbH & Co KG
ЭлСктронная ΠΊΠ½ΠΈΠ³Π°
152
ΠšΠΎΠ»ΠΈΡ‡Π΅ΡΡ‚Π²ΠΎ страниц
ΠžΡ†Π΅Π½ΠΊΠΈ ΠΈ ΠΎΡ‚Π·Ρ‹Π²Ρ‹ Π½Π΅ ΠΏΡ€ΠΎΠ²Π΅Ρ€Π΅Π½Ρ‹. ΠŸΠΎΠ΄Ρ€ΠΎΠ±Π½Π΅Π΅β€¦

Об элСктронной ΠΊΠ½ΠΈΠ³Π΅

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

Об Π°Π²Ρ‚ΠΎΡ€Π΅

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

ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΡΠ»Π΅ΠΊΡ‚Ρ€ΠΎΠ½Π½ΡƒΡŽ ΠΊΠ½ΠΈΠ³Ρƒ

ΠŸΠΎΠ΄Π΅Π»ΠΈΡ‚Π΅ΡΡŒ с Π½Π°ΠΌΠΈ своим ΠΌΠ½Π΅Π½ΠΈΠ΅ΠΌ.

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Π§Ρ‚ΠΎΠ±Ρ‹ ΠΎΡ‚ΠΊΡ€Ρ‹Ρ‚ΡŒ ΠΊΠ½ΠΈΠ³Ρƒ Π½Π° Ρ‚Π°ΠΊΠΎΠΌ устройствС для чтСния, ΠΊΠ°ΠΊ Kobo, скачайтС Ρ„Π°ΠΉΠ» ΠΈ Π΄ΠΎΠ±Π°Π²ΡŒΡ‚Π΅ Π΅Π³ΠΎ Π½Π° устройство. ΠŸΠΎΠ΄Ρ€ΠΎΠ±Π½Ρ‹Π΅ инструкции ΠΌΠΎΠΆΠ½ΠΎ Π½Π°ΠΉΡ‚ΠΈ Π² Π‘ΠΏΡ€Π°Π²ΠΎΡ‡Π½ΠΎΠΌ Ρ†Π΅Π½Ρ‚Ρ€Π΅.
Π‘ΠΎΠΎΠ±Ρ‰ΠΈΡ‚ΡŒ ΠΎ Π½Π΅Π·Π°ΠΊΠΎΠ½Π½ΠΎΠΌ ΠΊΠΎΠ½Ρ‚Π΅Π½Ρ‚Π΅

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