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Author  Title  Accn#  Year  Item Type  Claims 
1 
Oliver Davis Johns 
Analytical mechanics for relativity and quantum mechanics 
024069 
2011 
Book 

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 


1.


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 HamiltonJacobi 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 KleinGordon and Dirac equations. The chapter on HamiltonJacobi 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 quantumclassical 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 
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3.


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 nonautonomous mechanics in a general setting of timedependent 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 nonautonomous dynamic systems, Lagrangian and Hamiltonian nonrelativistic mechanics, relativistic mechanics, quantum nonautonomous mechanics, together with a number of advanced models â superintegrable systems, nonautonomous constrained systems, theory of Jacobi fields, mechanical systems with timedependent parameters, nonadiabatic 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 
MultiMedia 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 
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OB1207 

530.145.6:514.84/GIA/ 
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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. HAMILTONIANJACOBI 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 
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