Quantum Mechanics I+II: The Fundamentals (2015)

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Quantum Mechanics I + II: The Fundamentals
S. Rajasekar

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.

The text addresses many topics not typically found in books at this level, including:

Bound state solutions of quantum pendulum
Pöschl–Teller potential
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
Hydrogen atom in D-dimension
Alternate perturbation theories
An asymptotic method for slowly varying potentials
Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem
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.
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