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The Physics of Quantum Mechanics (Paperback)
Loot Price: R1,235
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The Physics of Quantum Mechanics (Paperback)
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The Physics of Quantum Mechanics aims to give students a good
understanding of how quantum mechanics describes the material
world. It shows that the theory follows naturally from the use of
probability amplitudes to derive probabilities. It stresses that
stationary states are unphysical mathematical abstractions that
enable us to solve the theory's governing equation, the
time-dependent Schroedinger equation. Every opportunity is taken to
illustrate the emergence of the familiar classical, dynamical world
through the quantum interference of stationary states. The text
stresses the continuity between the quantum world and the classical
world, which is merely an approximation to the quantum world. The
connections between observables, operators and transformations are
clearly explained and the standard commutation rules derived from
the properties of spacetime. A chapter is devoted to entanglement,
quantum computation, density operators and their role in
thermodynamics, and the measurement problem. Scattering phenomena,
including the origin of radioactivity, are handled early on in the
accessible context of one dimension, and at the end of the book
with some rigour in three dimensions. Hydrogen and helium are
discussed in some detail and it is shown that quantum mechanics
enables us to understand the structure of the periodic table
without engaging with the complexities of many-electron atoms.
Dirac notation is used from the outset and students are trained to
move easily from one representation to another, choosing whichever
representation is best suited to a particular problem. The
mathematical prerequisites are no more than simple vector algebra,
Taylor series expansion and the use of integrating factors to solve
linear first order differential equations. Rigorous algebraic
methods are preferred to the solution of partial differential
equations.
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