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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Modern Physics - Introduction to Statistical Mechanics, Relativity, and Quantum Physics (Hardcover, 1st ed. 2022)
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Modern Physics - Introduction to Statistical Mechanics, Relativity, and Quantum Physics (Hardcover, 1st ed. 2022)
Series: UNITEXT for Physics
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This book offers an introduction to statistical mechanics, special
relativity, and quantum physics. It is based on the lecture notes
prepared for the one-semester course of "Quantum Physics" belonging
to the Bachelor of Science in Material Sciences at the University
of Padova. The first chapter briefly reviews the ideas of classical
statistical mechanics introduced by James Clerk Maxwell, Ludwig
Boltzmann, Willard Gibbs, and others. The second chapter is devoted
to the special relativity of Albert Einstein. In the third chapter,
it is historically analyzed the quantization of light due to Max
Planck and Albert Einstein, while the fourth chapter discusses the
Niels Bohr quantization of the energy levels and the
electromagnetic transitions. The fifth chapter investigates the
Schrodinger equation, which was obtained by Erwin Schrodinger from
the idea of Louis De Broglie to associate to each particle a
quantum wavelength. Chapter Six describes the basic axioms of
quantum mechanics, which were formulated in the seminal books of
Paul Dirac and John von Neumann. In chapter seven, there are
several important application of quantum mechanics: the quantum
particle in a box, the quantum particle in the harmonic potential,
the quantum tunneling, the stationary perturbation theory, and the
time-dependent perturbation theory. Chapter Eight is devoted to the
study of quantum atomic physics with special emphasis on the spin
of the electron, which needs the Dirac equation for a rigorous
theoretical justification. In the ninth chapter, it is explained
the quantum mechanics of many identical particles at zero
temperature, while in Chapter Ten the discussion is extended to
many quantum particles at finite temperature by introducing and
using the quantum statistical mechanics. The four appendices on
Dirac delta function, complex numbers, Fourier transform, and
differential equations are a useful mathematical aid for the
reader.
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