This text describes novel treatments of quantum problems using
enhanced quantization procedures. When treated conventionally,
certain systems yield trivial and unacceptable results. This book
describes enhanced procedures, generally involving extended
correspondence rules for the association of a classical and a
quantum theory, which, when applied to such systems, yield
nontrivial and acceptable results. The text begins with a review of
classical mechanics, Hilbert space, quantum mechanics, and scalar
quantum field theory. Next, analytical skills are further
developed, a special class of models is studied, and a discussion
of continuous and discontinuous perturbations is presented. Later
chapters cover two further classes of models both of which entail
discontinuous perturbations. The final chapter offers a brief
summary, concluding with a conjecture regarding interacting
covariant scalar quantum field theories. Symmetry is repeatedly
used as a tool to help develop solutions for simple and complex
problems alike. Challenging exercises and detailed references are
included.
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