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|a 9783319279022
|9 978-3-319-27902-2
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|a 10.1007/978-3-319-27902-2
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|a de Gosson, Maurice A.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Born-Jordan Quantization
|h [electronic resource] :
|b Theory and Applications /
|c by Maurice A. de Gosson.
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|a 1st ed. 2016.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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|a XIII, 226 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Fundamental Theories of Physics,
|x 2365-6425 ;
|v 182
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|a 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.
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|a 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.
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|a Quantum physics.
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|a Operator theory.
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|a Mathematical physics.
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|a Physics-Philosophy.
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|a Quantum Physics.
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|a Operator Theory.
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|a Mathematical Physics.
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|a Philosophical Foundations of Physics and Astronomy.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319279008
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|i Printed edition:
|z 9783319279015
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|i Printed edition:
|z 9783319802367
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|a Fundamental Theories of Physics,
|x 2365-6425 ;
|v 182
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|u https://doi.uam.elogim.com/10.1007/978-3-319-27902-2
|z Texto Completo
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|a ZDB-2-PHA
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|a ZDB-2-SXP
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|a Physics and Astronomy (SpringerNature-11651)
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|a Physics and Astronomy (R0) (SpringerNature-43715)
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