Enhanced Quantization: Particles, Fields & Gravity

This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!

This book offers alternative quantization procedures that complete the story of quantization. The initial chapters are designed to present the new procedures in a clear and simple manner for general readers. As is necessary, systems that exhibit acceptable results with conventional quantization lead to the same results when the new procedures are used for them. However, later chapters examine selected models that lead to unacceptable results when quantized conventionally. Fortunately, these same models lead to acceptable results when the new quantization procedures are used.
Contents:Introduction and OverviewSelected Topics in Classical and Quantum Mechanics:Selected Topics in Classical MechanicsSelected Topics in Quantum MechanicsEnhanced Quantization of Simple Systems:Essentials of Enhanced QuantizationEnhanced Affine Quantization and the Initial Cosmological SingularityEnhanced Quantization of Some Complex Systems:Examples of Enhanced Quantization: Bosons, Fermions, and AnyonsEnhanced Quantization of Rotationally Invariant ModelsEnhanced Quantization of Ultralocal Field Theories:Enhanced Quantization of Ultralocal ModelsEnhanced Quantization of Covariant Scalars and Gravity:Enhanced Quantization of Covariant Scalar Field ModelsEnhanced Quantization of Gravity
Readership: Graduate students and researchers in quantum mechanics.
Key Features:It is an invaluable collection that contains surveys of recent developments in the field of mathematical physicsIt covers all important areas of mathematical physicsContributions by the best in the field, for example, Freeman Dyson, Barry Simon, Klaus Hepp, etc.