東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Classical and quantum dynamics = fro...

Dittrich, Walter.

FindBook

Google Book

Amazon

博客來

Classical and quantum dynamics = from classical paths to path integrals /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classical and quantum dynamics/ by Walter Dittrich, Martin Reuter.
其他題名:	from classical paths to path integrals /
作者:	Dittrich, Walter.
其他作者:	Reuter, Martin.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xii, 461 p. :ill., digital ;24 cm.
內容註:	Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points -- Canonical Transformations -- The Hamilton-Jacobi Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincare Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator -- Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Analogues to Berry's Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions -- Index.
Contained By:	Springer eBooks
標題:	Quantum theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-21677-5
ISBN:	9783319216775$q(electronic bk.)

Classical and quantum dynamics = from classical paths to path integrals /
Dittrich, Walter.

Classical and quantum dynamicsfrom classical paths to path integrals /[electronic resource] :by Walter Dittrich, Martin Reuter. - 4th ed. - Cham :Springer International Publishing :2016. - xii, 461 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4513. - Graduate texts in physics..

Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points -- Canonical Transformations -- The Hamilton-Jacobi Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincare Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator -- Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Analogues to Berry's Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions -- Index.

Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name a few. Well-chosen and detailed examples illustrate the perturbation theory, canonical transformations, the action principle and demonstrate the usage of path integrals. This new edition has been revised and enlarged with chapters on quantum electrodynamics, high energy physics, Green's functions and strong interaction. "This book is a brilliant exposition of dynamical systems covering the essential aspects and written in an elegant manner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics." (Indian Journal of Physics)

ISBN: 9783319216775$q(electronic bk.)

Standard No.: 10.1007/978-3-319-21677-5doiSubjects--Topical Terms:

516552
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

Classical and quantum dynamics = from classical paths to path integrals /
LDR:03476nmm a2200337 a 4500 001 2029481
003 DE-He213
005 20160801111129.0
006 m d
007 cr nn 008maaau
008 160908s2016 gw s 0 eng d
020 $a 9783319216775$q(electronic bk.)
020 $a 9783319216768$q(paper)
024 7 $a 10.1007/978-3-319-21677-5 $2 doi
035 $a 978-3-319-21677-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .D617 2016
100 1 $a Dittrich, Walter. $3 633795
245 1 0 $a Classical and quantum dynamics $h [electronic resource] : $b from classical paths to path integrals / $c by Walter Dittrich, Martin Reuter.
250 $a 4th ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 461 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4513
505 0 $a Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points -- Canonical Transformations -- The Hamilton-Jacobi Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory -- Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincare Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern-Simons Mechanics -- Semiclassical Quantization -- The "Maslov Anomaly" for the Harmonic Oscillator -- Maslov Anomaly and the Morse Index Theorem -- Berry's Phase -- Classical Analogues to Berry's Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions -- Index.
520 $a Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name a few. Well-chosen and detailed examples illustrate the perturbation theory, canonical transformations, the action principle and demonstrate the usage of path integrals. This new edition has been revised and enlarged with chapters on quantum electrodynamics, high energy physics, Green's functions and strong interaction. "This book is a brilliant exposition of dynamical systems covering the essential aspects and written in an elegant manner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics." (Indian Journal of Physics)
650 0 $a Quantum theory. $3 516552
650 0 $a Physics. $3 516296
650 0 $a Mathematical physics. $3 516853
650 0 $a Field theory (Physics) $3 707053
650 0 $a Nuclear physics. $3 517741
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Classical Continuum Physics. $3 1066687
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Particle and Nuclear Physics. $3 1067136
700 1 $a Reuter, Martin. $3 2134638
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Graduate texts in physics. $x 1868-4513. $3 1314540
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21677-5
950 $a Physics and Astronomy (Springer-11651)