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Born-Jordan Quantization = Theory and Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Born-Jordan Quantization/ by Maurice A. de Gosson.
其他題名:	Theory and Applications /
作者:	de Gosson, Maurice A.
面頁冊數:	XIII, 226 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Quantum physics. -
電子資源:	https://doi.org/10.1007/978-3-319-27902-2
ISBN:	9783319279022

Born-Jordan Quantization = Theory and Applications /
de Gosson, Maurice A.

Born-Jordan QuantizationTheory and Applications /[electronic resource] :by Maurice A. de Gosson. - 1st ed. 2016. - XIII, 226 p.online resource. - Fundamental Theories of Physics,1820168-1222 ;. - Fundamental Theories of Physics,178.

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.

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.

ISBN: 9783319279022

Standard No.: 10.1007/978-3-319-27902-2doiSubjects--Topical Terms:

1179090
Quantum physics.

LC Class. No.: QC173.96-174.52

Dewey Class. No.: 530.12

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