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Book synopsis

This book presents a comprehensive mathematical study of§the operators behind the Born-Jordan quantization scheme. The Schrödinger and§Heisenberg pictures of quantum mechanics are equivalent only if the Born-Jordan§scheme is used. Thus, Born-Jordan quantization provides the only physically§consistent quantization scheme, as opposed to the Weyl quantization commonly§used by physicists. In this book we develop Born-Jordan quantization from an§operator-theoretical point of view, and analyze in depth the conceptual§differences between the two schemes. We discuss various physically motivated§approaches, in particular the Feynman-integral point of view. One important and§intriguing feature of Born-Jordan quantization is that it is not one-to-one:§there are infinitely many classical observables whose quantization is zero.§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Born-Jordan Quantization
• Subtitle: Theory and Applications
• Author: Maurice de Gosson
• Language: English
• Binding: Hardback
• Number of pages: 226
• EAN: 9783319279008
• ISBN: 3319279009
• ID: 02848225
• Publisher: Springer International Publishing AG
• Weight: 4853 g
• Dimensions: 235 × 155 × 20 mm
• Date of publishing: 14. January 2016

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