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A Concise Introduction to Quantum Mechanics (Hardcover)
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A Concise Introduction to Quantum Mechanics (Hardcover)
Series: IOP Concise Physics
Expected to ship within 10 - 15 working days
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Assuming a background in basic classical physics, multivariable
calculus, and differential equations, A Concise Introduction to
Quantum Mechanics provides a self-contained presentation of the
mathematics and physics of quantum mechanics. The relevant aspects
of classical mechanics and electrodynamics are reviewed, and the
basic concepts of wave-particle duality are developed as a logical
outgrowth of experiments involving blackbody radiation, the
photoelectric effect, and electron diffraction. The Copenhagen
interpretation of the wave function and its relation to the
particle probability density is presented in conjunction with
Fourier analysis and its generalization to function spaces. These
concepts are combined to analyze the system consisting of a
particle confi ned to a box, developing the probabilistic
interpretation of observations and their associated expectation
values. The Schroedinger equation is then derived by using these
results and demanding both Galilean invariance of the probability
density and Newtonian energy-momentum relations. The general
properties of the Schroedinger equation and its solutions are
analyzed, and the theory of observables is developed along with the
associated Heisenberg uncertainty principle. Basic applications of
wave mechanics are made to free wave packet spreading, barrier
penetration, the simple harmonic oscillator, the Hydrogen atom, and
an electric charge in a uniform magnetic fi eld. In addition, Dirac
notation, elements of Hilbert space theory, operator techniques,
and matrix algebra are presented and used to analyze coherent
states, the linear potential, two state oscillations, and electron
diffraction. Applications are made to photon and electron spin and
the addition of angular momentum, and direct product multiparticle
states are used to formulate both the Pauli exclusion principle and
quantum decoherence. The book concludes with an introduction to the
rotation group and the general properties of angular momentum.
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