Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Books » Physics » Theoretical Physics » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Advances in Engineering Research. Volume 20
$250.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Bestsellers
01.Process Physics: From Information Theory to Quantum Space and Matter
02.Dynamical Symmetry of the Kepler-Coulomb Problem in Classical and Quantum Mechanics: Non-Relativistic and Relativistic
03.Statistical and Condensed Matter Physics: Over the Horizon
04.Grand Unified Theorem 2nd Edition
05.Gravitoelectromagnetic Theories and their Applications to Advanced Science and Technology
06.Unification of Classical, Quantum and Relativistic Mechanics and of the Four Forces
07.Crossing in Complexity: Interdisciplinary Application of Physics in Biological and Social Systems
08.New Developments in String Theory Research
09.String Theory Research Progress
10.Quantum Mechanics
Notifications more
NotificationsNotify me of updates to Dynamical Symmetry of the Kepler-Coulomb Problem in Classical and Quantum Mechanics: Non-Relativistic and Relativistic
Tell A Friend
 
Tell someone you know about this product.
Dynamical Symmetry of the Kepler-Coulomb Problem in Classical and Quantum Mechanics: Non-Relativistic and Relativistic
Retail Price: $110.00
10% Online Discount
You Pay:

$99.00
Authors: Tamar T. Khachidze and Anzor A. Khelashvili (Ivane Javakhishvili Tbilsi State University, Georgia) 
Book Description:
The purpose of this new and important book is to develop a systematic theory for the hidden symmetry generators, which are simultaneously the odd generators of superalgebra in relativistic quantum mechanics (Dirac's equation). It is devoted to the description of so-called hidden symmetry of the Kepler problem in classical and quantum mechanics (non-relativistic and relativistic). Moreover, the purpose is to elucidate the role of this kind of symmetries in the reduction of physical problems, to show algebraic possibilites of derivation of spectra.

Table of Contents:
Preface:

Introduction: The General Concepts of Dynamical Symmetries

Chapter I. Hidden (Dynamical) Symmetries in Classical Mechanics; pp.1-28
I.1 Constants of Motion as Generators of Infinitesimal Transformations; pp.29-45
I.2 Derivation of LRL Vector; pp. I.3 Application of LRL Vector in Classical Physics:
(i) LRL Vector and Orbit Equation (ii) Algebraic Aspects of the Kepler Problem
I.4 Dynamical Symmetry for the Isotropic Harmonic Oscillator
I.5 Possible Generalizations of Dynamical Symmetries
I.6 Application of the Dynamical Evolution of LRL Vector in
General Central Case
- Equations of Motion for General Central Forces
- Equations of Motion for Arbitrary Forces
- Summary Comments on Dynamical Symmetries in Classical
(Non-relativistic) Mechanics
References

Chapter II. Hidden Symmetry in Classical Relativistic Mechanics; pp.29-44
II.1 Auxiliary problem: LRL vector for a Modified Kepler Problem
II.2 The Laplace-Runge-Lenz Vector and Lorentz Boost
II.3 Post-Newtonian Extensions of the LRL Vector
II.4 Relativistic Kepler Problem
References

Chapter III. Dynamical Symmetries in Non-relativistic Quantum Mechanics; pp.47-65
III.1 The Hydrogen Atom (General Consideration)
Algebraic Aspects of the Hydrogen Problem
III.2 The Hydrogen Atom in the Momentum Representation Example of Application of the Momentum Representation: Dynamical Symmetry of a Three-dimensional Wick-Cutkosky Problem
III.3 The Hydrogen Atom and the Lorentz Group
III.4 Three-dimensional Isotropic Harmonic Oscillator
References

Chapter IV. New Kind of Dynamial Symmetry – Supersymmetry; pp.67-79
IV.1 Supersymmetric Quantum Mechanics
IV.2 Supersymmetry and the Radial Problem
IV.3 Exact Supersymmetry in the Non-relativistic Hydrogen Atom
References

Chapter V. Relativistic Quantum Mechanics; pp.81-95 V.I Supersymmetry in the Dirac Equation for the Culomb Potential
Appendix: Shape Invariance V.2 An “Accidental”Symmetry Operator for the Dirac Equation
in the Coulomb Potential – from Pauli to Dirac
V.3 Physical Meaning and some Applications of Johnson-Lippman Operator Appendix: Calculations of Relevant Commutators
References

Chapter VI. Generalizations to the Relativistic Dirac Hamiltonian; pp. 97-115
VI.1 Supersymmetry of the Dirac Hamiltonian for General
Central Potential VI.2 Where is the Harmonic Oscillator?
VI.3 Relativistic Quantum Mechanics of Dirac Oscillator
VI.4 The Lorentz-scalar Potential in the Dirac Equation
VI.5 Algebraic Derivation of the Spectrum of the Dirac Hamiltonian for an Arbitrary Comination of the a Lorentz-scalar an Lorentz-vector Potentials
Comments
References

Chapter VII. Some Recent; pp.117-127 Developments
VII.1 Hidden Supersymmetry of the Dirac-Coulomb Problem
and the Biedenharn Approach
VII.2 Some Practical Generalizations: The LRL Vector in the
Presence of an Electric Field
In the Form of Conclusions
References

Bibliography (Part I) (Part II)Continuation pp.131-144

Index

   Binding: Hardcover
   Pub. Date: 2008
   ISBN: 978-1-60456-499-0
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
Customers who bought this product also purchased
Entrepreneurship and its Economic Significance, Behavior and Effects
Entrepreneurship and its Economic Significance, Behavior and Effects
Non-Archimedean Linear Operators and Applications
Non-Archimedean Linear Operators and Applications
Structural Data and Invariants of Nine Dimensional Real Lie Algebras with Nontrivial Levi Decomposition
Structural Data and Invariants of Nine Dimensional Real Lie Algebras with Nontrivial Levi Decomposition
Special Focus Titles
01.Positive Youth Development: Long Term Effects in a Chinese Program
02.Anticancer Therapies: Advances in Research and Applications
03.From Dreamers to Doers: The Art and Science of Educational Project Management
04.Delirium: Prevention, Symptoms and Treatment
05.Mindfulness: Past, Present and Future Perspectives
06.Classrooms. Volume 2: Academic Content and Behavior Strategy Instruction for Students With and Without Disabilities
07.Bicycles: Helmet Use of Adolescents at Independent Schools
08.Alzheimer’s Disease: Awareness among Young Adults
09.What Your Eyes Tell Your Brain about Art: Insights from Neuroaesthetics and Scanpath Eye Movements
10.Pain: Management, Issues and Controversies
11.Gifted Underachiever
12.Biological Conservation in the 21st Century: A Conservation Biology of Large Wildlife

Nova Science Publishers
© Copyright 2004 - 2017

Dynamical Symmetry of the Kepler-Coulomb Problem in Classical and Quantum Mechanics: Non-Relativistic and Relativistic