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Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Oliver Davis Johns |
Analytical mechanics for relativity and quantum mechanics |
024069 |
2011 |
Book |
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| 2 |
Melvin G. Calkin |
Lagrangian and Hamiltonian mechanics |
023662 |
1996 |
Book |
|
| 3 |
Giovanni giachetta |
Geometric formulation of classical and quantum mechanics |
023596 |
2011 |
Book |
|
| 4 |
Iro, Harald |
Modern approach to classical mechanics |
020866 |
2003 |
Book |
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1.
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| Title | Analytical mechanics for relativity and quantum mechanics |
| Author(s) | Oliver Davis Johns |
| Publication | New York, Oxford University Press, 2011. |
| Description | xxii, 629p. |
| Abstract Note | Analytical Mechanics for Relativity and Quantum Mechanics is an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It is intended for use at the introductory graduate level. A distinguishing feature of the book is its integration of special relativity into teaching of classical mechanics. After a thorough review of the traditional theory, Part II of the book introduces extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Langrangians and Hamiltonians, canonical transformations, and Hamilton-Jacobi methods are simplified by the use of this extended theory. And the definition of canonical transformation no longer excludes the Lorenz transformation of special relativity.
This is also a book for those who study analytical mechanics to prepare for a critical exploration of quantum mechanics. Comparisons to quantum mechanics appear throughout the text. The extended Hamiltonian theory with time as a coordinate is compared to Dirac's formalism of primary phase space constraints. The chapter on relativistic mechanics shows how to use covariant Hamiltonian theory to write the Klein-Gordon and Dirac equations. The chapter on Hamilton-Jacobi theory includes a discussion of the closely related Bohm hidden variable model of quantum mechanics. Classical mechanics itself is presented with an emphasis on methods, such as linear vector operators and dyadics, that will familiarize the student with similar techniques in quantum theory. Several of the current fundamental problems in theoretical physics - the development of quantum information technology, and the problem of quantizing the gravitational field, to name two - require a rethinking of the quantum-classical connection.
Graduate students preparing for research careers will find a graduate mechanics course based on this book to be an essential bridge between their undergraduate training and advanced study in analytical mechanics, relativity, and quantum mechanics. |
| ISBN,Price | 9780198567264 : UKP 110.00(HB) |
| Classification | 530.145.6
|
| Keyword(s) | 1. ANALYTICAL MECHANICS
2. CANONICAL TRANSFORMS
3. CLASSICAL MECHANICS
4. HAMILTONIAN MECHANICS
5. LAGRANGIAN MECHANICS
6. MECHANICS
7. QUANTUM MECHANICS
8. RELATIVITY
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 024069 |
|
JOH/024069 |
On Shelf |
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3.
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| Title | Geometric formulation of classical and quantum mechanics |
| Author(s) | Giovanni giachetta;Luigi Mangiarotti;Gennadi Sardanashvily |
| Publication | New Jersey, World Scientific Publishing Co. Pvt. Ltd., 2011. |
| Description | xi, 392p. |
| Abstract Note | book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models â superintegrable systems, non-autonomous constrained systems, theory of Jacobi fields, mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames. |
| ISBN,Price | 9789814313728 : US $98.00(HB) |
| Classification | 530.145.6:514.84
|
| Keyword(s) | 1. ALGEBRAIC QUANTIZATION
2. DYNAMIC EQUATIONS
3. EBOOK
4. EBOOK - WORLD SCIENTIFIC
5. GEOMETRIC QUANTIZATION
6. HAMILTONIAN MECHANICS
7. HAMILTONIAN SYSTEMS
8. JACOBI FIELDS
9. LAGRANGIAN MECHANICS
10. MECHNICS
11. RELATIVISTIC MECHANICS
|
| Item Type | Book |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 023596 |
|
530.145.6:514.84/GIA/023596 |
On Shelf |
|
|
|
| OB1207 |
|
530.145.6:514.84/GIA/ |
On Shelf |
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|
+Copy Specific Information |
|
4.
| |
| Title | Modern approach to classical mechanics |
| Author(s) | Harald Iro |
| Publication | New Jersey, World Scientific Publishing Co. Pvt. Ltd., 2003. |
| Description | xii, 442p. |
| Contents Note | The first German edition of this book appeared in 1993, published by the Universitatsverlag R, Trauner, Linz, Austria; then in 1999, after two more revised German editions, a Ukrainian edition was published by the National Ivan Franko University in Lviv, Ukraine. |
| ISBN,Price | 9812382135 : US$ 70.00 |
| Classification | 531
|
| Keyword(s) | 1. CLASSICAL MECHANICS
2. FIRST INTEGRAL
3. GREEN'S FUNCTIONS
4. HAMILTONIAN-JACOBI THEORY
5. LAGRANGIAN MECHANICS
6. LINEAR STABILITY ANALYSIS
7. PHASE SPACE
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 020866 |
|
531/IRO/020866 |
On Shelf |
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|
+Copy Specific Information | |