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  3. Beyond Conventional Quantization
  • Cited by 11
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    • Publisher:
      Cambridge University Press
      Publication date:
      15 September 2009
      11 November 1999
      ISBN:
      9780511524684
      9780521258845
      9780521675482
      DOI:
      https://doi.org/10.1017/CBO9780511524684
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.74kg, 336 Pages
      Dimensions:
      (247 x 147 mm)
      Weight & Pages:
      0.529kg, 336 Pages
      • Subjects:
      Physics and Astronomy, Theoretical Physics and Mathematical Physics, Quantum Physics, Quantum Information and Quantum Computation
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    • Selected: Digital
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    Subjects:
    Physics and Astronomy, Theoretical Physics and Mathematical Physics, Quantum Physics, Quantum Information and Quantum Computation
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    Book description

    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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