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Home > Mathematics and Science Textbooks > Physics > Quantum physics > Practical Quantum Mechanics: Modern Tools and Applications(Oxford Graduate Texts)
Practical Quantum Mechanics: Modern Tools and Applications(Oxford Graduate Texts)

Practical Quantum Mechanics: Modern Tools and Applications(Oxford Graduate Texts)


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About the Book

Quantum mechanics forms the foundation of all modern physics, including atomic, nuclear, and molecular physics, the physics of the elementary particles, condensed matter physics. Modern astrophysics also relies heavily on quantum mechanics. Quantum theory is needed to understand the basis for new materials, new devices, the nature of light coming from stars, the laws which govern the atomic nucleus, and the physics of biological systems. As a result the subject of this book is a required course for most physics graduate students. While there are many books on the subject, this book targets specifically graduate students and it is written with modern advances in various fields in mind. Many examples treated in the various chapters as well as the emphasis of the presentation in the book are designed from the perspective of such problems. For example, the book begins by putting the Schrödinger equation on a spatial discrete lattice and the continuum limit is also discussed, inspired by Hamiltonian lattice gauge theories. The latter and advances in quantum simulations motivated the inclusion of the path integral formulation. This formulation is applied to the imaginary-time evolution operator to project the exact ground state of the harmonic oscillator as is done in quantum simulations. As an example of how to take advantage of symmetry in quantum mechanics, one-dimensional periodic potentials are discussed, inspired by condensed matter physics. Atoms and molecules are discussed within mean-field like treatment (Hartree-Fock) and how to go beyond it. Motivated by the recent intense activity in condensed matter and atomic physics to study the Hubbard model, the electron correlations in the hydrogen molecule are taken into account by solving the two-site Hubbard model analytically. Using the canonical Hamiltonian quantization of quantum electrodynamics, the photons emerge as the quanta of the normal modes, in the same way as the phonons emerge in the treatment of the normal modes of the coupled array of atoms. This is used later to treat the interaction of radiation with atomic matter.

Table of Contents:
1: Schrödinger equation on a lattice 2: Dirac notation 3: Back to Schrödinger equation on the lattice 4: Operator-mechanics 5: Time evolution and wave packets 6: Simulaneaous observables 7: Continuity equation and wavefunction properties 8: Bond states in one-dimension 9: Scattering in one dimension 10: Periodic Potentials 11: The harmonic oscillator 12: WKB approximation 13: Quantum mechanics and path integrals 14: Applications of path integrals 15: Angular momentum 16: Bound states in spherically symmetric potentials 17: The hydrogen-like atom 18: Angular momentum and spherical symmetry 19: Scattering in 3D 20: Time independent perturbation expansion 21: Applications of perturbation theory 22: Time-dependent Hamiltonian 23: Spin angular momentum 24: Adding angular momenta 25: Identical particles 26: Elementary atomic physics 27: Molecules 28: The elasticity field 29: Quantization of the free electromagnetic field 30: Interaction of radiation with charged particles 31: Elementary relativistic quantum mechanics

About the Author :
Efstratios Manousakis received his Ph. D. in Theoretical Physics, in 1985, from the University of Illinois at Urbana-Champaign. After a Post-Doctoral Research position at the Center for Theoretical Physics at the Massachusetts Institute of Technology (1985-1987) and at the Supercomputer Computational Research Institute (1987-88), he joined the Florida State University physics faculty, where he is the Donald Robson Professor of Physics and holds the title of Distinguished Research Professor.

Review :
`"The book teaches students how to approach and solve the types of quantum mechanical problems they will encounter throughout their careers. It will serve as an excellent text for a graduate level course."' C. Stephen Hellberg, Naval Research Laboratory


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Product Details
  • ISBN-13: 9780198749349
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Height: 248 mm
  • No of Pages: 350
  • Series Title: Oxford Graduate Texts
  • Sub Title: Modern Tools and Applications
  • Width: 186 mm
  • ISBN-10: 0198749341
  • Publisher Date: 12 Nov 2015
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 24 mm
  • Weight: 874 gr


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