The emergence of quantum mechanics from classical world mechanics
is now a well-established theme in mathematical physics. This book
demonstrates that quantum mechanics can indeed be viewed as a
refinement of Hamiltonian mechanics, and builds on the work of
George Mackey in relation to their mathematical foundations.
Additionally when looking at the differences with classical
mechanics, quantum mechanics crucially depends on the value of
Planck's constant h. Recent cosmological observations tend to
indicate that not only the fine structure constant but also h might
have varied in both time and space since the Big Bang. We explore
the mathematical and physical consequences of a variation of h;
surprisingly we see that a decrease of h leads to transitions from
the quantum to the classical.Emergence of the Quantum from the
Classical provides help to undergraduate and graduate students of
mathematics, physics and quantum theory looking to advance into
research in the field.
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