The Resource Born-Jordan quantization : theory and applications, Maurice A. de Gosson

Born-Jordan quantization : theory and applications, Maurice A. de Gosson

Label
Born-Jordan quantization : theory and applications
Title
Born-Jordan quantization
Title remainder
theory and applications
Statement of responsibility
Maurice A. de Gosson
Creator
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Gosson, Maurice de
Dewey number
530.15
Index
index present
LC call number
QC20
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Fundamental theories of physics,
Series volume
182
http://library.link/vocab/subjectName
  • Mathematical physics
  • Operator-valued functions
  • SCIENCE
  • SCIENCE
  • SCIENCE
  • Mathematical physics
  • Operator-valued functions
  • Functional analysis & transforms
  • Mathematical modelling
  • History of science
  • Quantum physics (quantum mechanics & quantum field theory)
Label
Born-Jordan quantization : theory and applications, Maurice A. de Gosson
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-27902-2
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xiii, 226 pages).
File format
unknown
Form of item
online
Isbn
9783319279022
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-27902-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)934745456
  • (OCoLC)ocn934745456
Label
Born-Jordan quantization : theory and applications, Maurice A. de Gosson
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-27902-2
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xiii, 226 pages).
File format
unknown
Form of item
online
Isbn
9783319279022
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-27902-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)934745456
  • (OCoLC)ocn934745456

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