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Author: Esra Russell
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110515369
Category : Science
Languages : en
Pages : 154
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Book Description
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
Author: Esra Russell
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110515369
Category : Science
Languages : en
Pages : 154
Get Book Here
Book Description
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
Author:
Publisher:
ISBN:
Category : Stamp collecting
Languages : en
Pages : 432
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Book Description
Author: Carl von Noorden
Publisher:
ISBN:
Category : Metabolism
Languages : en
Pages : 476
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Book Description
Author:
Publisher:
ISBN:
Category : Medicaid
Languages : en
Pages : 536
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Book Description
Characteristics of Medicaid state programs.
Author: Kenneth Simonds Johnson
Publisher:
ISBN:
Category : Telephone
Languages : en
Pages : 356
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Book Description
Author: United States. Army. Corps of Engineers
Publisher:
ISBN:
Category : Coastwise navigation
Languages : en
Pages : 226
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Book Description
Author: Marcus Tullius Cicero
Publisher:
ISBN:
Category :
Languages : en
Pages : 588
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Book Description
Author: Claude Albert
Publisher: Springer Science & Business Media
ISBN: 1461241340
Category : Mathematics
Languages : en
Pages : 219
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Book Description
The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino. The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems.
Author: United States Trotting Association
Publisher:
ISBN:
Category : Horse racing
Languages : en
Pages : 778
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Book Description
Author: John Bird
Publisher: Routledge
ISBN: 1317202805
Category : Technology & Engineering
Languages : en
Pages : 859
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Book Description
A fully comprehensive text for courses in electrical principles, circuit theory and electrical technology, providing 800 worked examples and over 1,350 further problems for students to work through at their own pace. This book is ideal for students studying engineering for the first time as part of BTEC National and other pre-degree vocational courses, as well as Higher Nationals, Foundation Degrees and first-year undergraduate modules.
