

Click the serial number on the left to view the details of the item. 
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Author  Title  Accn#  Year  Item Type  Claims 
1 
Rudolf Dvorak 
Celestial dynamics: Chaoticity and Dynamics of Celestial Systems 
OB1812 
2013 
eBook 

2 
Mauri Valtonen 
Threebody problem 
024696 
2006 
Book 

3 
Oliver Davis Johns 
Analytical mechanics for relativity and quantum mechanics 
024069 
2011 
Book 

4 
Melvin G. Calkin 
Lagrangian and Hamiltonian mechanics 
023662 
1996 
Book 

5 
Giovanni giachetta 
Geometric formulation of classical and quantum mechanics 
023596 
2011 
Book 

6 
K. D. Abhyankar 
Overview of basic theoretical physics 
022758 
2009 
Book 

7 
TAYLOR, JOHN R. 
Classical Mechanics 
020065 
2005 
Book 


2.


Title  Threebody problem 
Author(s)  Mauri Valtonen;Hannu Karttunen 
Publication  Cambridge, Cambridge University Press, 2006. 
Description  x, 345p. 
Abstract Note  How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. PoincarÃ©'s conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semianalytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level. 
ISBN,Price  9780521852241 : UKP 63.00(HB) 
Classification  521.135

Keyword(s)  1. CELESTIAL MECHANICS
2. HAMILTONIAN MECHANICS
3. LAGRAGIAN MECHANICS
4. PERTURBATION (ASTRONOMY)
5. THREE BODY PROBLEM

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024696 

521.135/VAL/024696 
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3.


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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5.


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 
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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/ 
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