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Born-Jordan quantization : theory and applications
- 作者： Gosson, Maurice A. de, author.
- 其他作者：
- 其他題名：
- Fundamental theories of physics ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Fundamental theories of physics,volume 182
- 主題： Mathematical physics. , Operator-valued functions. , Physics. , Quantum Physics. , Operator Theory. , Mathematical Applications in the Physical Sciences. , History and Philosophical Foundations of Physics.
- ISBN： 9783319279022 (electronic bk.) 、 9783319279008 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrodinger 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.
- 摘要註: This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. The Schrodinger 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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讀者標籤：
- 系統號： 005359299 | 機讀編目格式
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