Born-Jordan Quantization : Theory and Applications
Cham : Springer International Publishing : Imprint: Springer, 2016
Abstract/Sommario:
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 analy ...; [leggi tutto]
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| Descrizione | Born-Jordan Quantization : Theory and Applications / by Maurice A. de Gosson. - 1st ed. 2016. - Cham : Springer International Publishing : Imprint: Springer, 2016. - XIII, 226 p ; online resource. - (Fundamental Theories of Physics ; 182) |
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Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrödinger Equation -- Mathematical Aspects of Born-Jordan Quantization: The Weyl Correspondence -- The Cohen Class -- Born-Jordan Quantization -- Shubin's Pseudo-Differential Calculus -- Born-Jordan Pseudo-Differential Operators -- Weak Values and the Reconstruction Problem -- Some Advanced Topics: Metaplectic Operators -- Symplectic Covariance Properties -- Symbol Classes and Function Spaces. - Springer eBooks. - Printed edition: 9783319279008
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| ID scheda | 139122 |
| Permalink | https://www.opac.inaf.it/?ids=139122 |