Quantum Mechanics I

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A01=R. Velusamy
A01=S. Rajasekar
advanced quantum mechanics textbook for graduates
approximation methods
Author_R. Velusamy
Author_S. Rajasekar
Bell theorem applications
Category=PHQ
Delayed Choice Experiment
density matrix formalism
Differential Cross-section
Double Slit Experiment
Einstein-Podolsky-Rosen paradox
Energy Eigenvalues
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fractional quantum theory
Free Particle
Gaussian Wave Packet
Hamilton Jacobi Equation
Harmonic Oscillator
Harmonic Oscillator Potential
Heisenberg Picture
Hermitian Operators
Hidden Variable Theory
Hilbert Space
Hydrogen atom in D-dimension
Linear Harmonic Oscillator
mathematical framework of quantum mechanics
Modified Heisenberg relation
Momentum Wave Function
Morse oscillator analysis
Numerical methods for quantum systems
Orbital Angular Momentum
Partial Wave Expansion
perturbation theories
Quantum Mechanical Systems
Quantum Mechanics
quantum pendulum solutions
relativistic quantum systems
Schrodinger and time evolution
Time Dependent Perturbation Theory
time evolution of quantum mechanical systems
Total Scattering Cross-section
Wave Function
Wave Packet
Wave Particle Duality
WKB Method

Product details

  • ISBN 9780367769987
  • Weight: 1020g
  • Dimensions: 178 x 254mm
  • Publication Date: 28 Nov 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems.

This fully updated new edition addresses many topics not typically found in books at this level, including:

  • Bound state solutions of quantum pendulum
  • Morse oscillator
  • Solutions of classical counterpart of quantum mechanical systems
  • A criterion for bound state
  • Scattering from a locally periodic potential and reflection-less potential
  • Modified Heisenberg relation
  • Wave packet revival and its dynamics
  • An asymptotic method for slowly varying potentials
  • Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem
  • Delayed-choice experiments
  • Fractional quantum mechanics
  • Numerical methods for quantum systems

A collection of problems at the end of each chapter develops students’ understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors’ follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics.

Print Versions of this book also include access to the ebook version.

S. Rajasekar received his B.Sc. and M.Sc. in Physics both from St. Joseph’s College, Tiruchirapalli. He was awarded his Ph.D. degree from Bharathidasan University in 1992 under the supervision of Prof. M. Lakshmanan. In 1993, he joined as a Lecturer at the Department of Physics, Manonmaniam Sundaranar University, Tirunelveli. In 2003, the book Nonlinear Dynamics: Integrability, Chaos and Patterns written by Prof. M. Lakshmanan and the author was published by Springer. In 2005, he joined as a Professor at the School of Physics, Bharathidasan University. In 2016 Springer published Nonlinear Resonances written by Prof. Miguel A.F. Sanjuan and the author. In 2021 Professors U.E. Vincent, P.V.E. McClintock, I.A. Khovanov and the author compiled and edited two issues of Philosophical Transactions of the Royal Society A on the theme Vibrational and Stochastic Resonances in Driven Nonlinear Systems. He has also edited Recent Trends in Chaotic, Nonlinear and Complex Dynamics with Professors Jan Awrejecewicz and Minvydas Ragulskis, published by World Scientific in 2022. His recent research focuses on nonlinear dynamics with a special emphasize on nonlinear resonances. He has authored or co-authored more than 120 research papers in nonlinear dynamics.

R. Velusamy received his B.Sc. degree in Physics from the Ayya Nadar Janaki Ammal College, Sivakasi in 1972 and M.Sc. in Physics from the P.S.G. Arts and Science College, Coimbatore in 1974. He worked as a demonstrator in the Department of Physics in P.S.G. Arts and Science College during 1974-77. He received an M.S. Degree in Electrical Engineering at Indian Institute of Technology, Chennai in the year 1981. In the same year, he joined in the Ayya Nadar Janaki Ammal College as an Assistant Professor in Physics. He was awarded a M.Phil. degree in Physics in the year 1988. He retired in the year 2010. His research topics are quantum confined systems and wave packet dynamics.

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