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国際標準書誌記述(ISBD)
Born-Jordan quantization[electronic ...
~
Gosson, Maurice A. de.
Born-Jordan quantization[electronic resource] :theory and applications /
レコード種別:
言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:
530.15
タイトル / 著者:
Born-Jordan quantization : theory and applications // by Maurice A. de Gosson.
著者:
Gosson, Maurice A. de.
出版された:
Cham : : Springer International Publishing :, 2016.
記述:
xiii, 226 p. : : ill., digital ;; 24 cm.
含まれています:
Springer eBooks
主題:
Mathematical physics.
主題:
Operator-valued functions.
主題:
Physics.
主題:
Quantum Physics.
主題:
Operator Theory.
主題:
Mathematical Applications in the Physical Sciences.
主題:
History and Philosophical Foundations of Physics.
国際標準図書番号 (ISBN) :
9783319279022
国際標準図書番号 (ISBN) :
9783319279008
[NT 15000228] null:
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.
[NT 15000229] null:
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.
電子資源:
http://dx.doi.org/10.1007/978-3-319-27902-2
Born-Jordan quantization[electronic resource] :theory and applications /
Gosson, Maurice A. de.
Born-Jordan quantization
theory and applications /[electronic resource] :by Maurice A. de Gosson. - Cham :Springer International Publishing :2016. - xiii, 226 p. :ill., digital ;24 cm. - Fundamental theories of physics,v.1820168-1222 ;. - Fundamental theories of physics ;v.172..
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.
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.
ISBN: 9783319279022
Standard No.: 10.1007/978-3-319-27902-2doiSubjects--Topical Terms:
182314
Mathematical physics.
LC Class. No.: QC20
Dewey Class. No.: 530.15
Born-Jordan quantization[electronic resource] :theory and applications /
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マルチメディア (複合媒体資料)
マルチメディアファイル
http://dx.doi.org/10.1007/978-3-319-27902-2
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