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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Practical Quantum Mechanics - Modern Tools and Applications (Hardcover)
Loot Price: R1,897
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Practical Quantum Mechanics - Modern Tools and Applications (Hardcover)
Series: Oxford Graduate Texts
Expected to ship within 12 - 19 working days
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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
Schroedinger 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.
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