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The Resource The supersymmetric Dirac equation : the application to hydrogenic atoms, Allen Hirshfeld

The supersymmetric Dirac equation : the application to hydrogenic atoms, Allen Hirshfeld

Label
The supersymmetric Dirac equation : the application to hydrogenic atoms
Title
The supersymmetric Dirac equation
Title remainder
the application to hydrogenic atoms
Statement of responsibility
Allen Hirshfeld
Creator
Subject
Language
eng
Summary
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book
Member of
Cataloging source
UIU
http://library.link/vocab/creatorName
Hirshfeld, Allen C
Dewey number
530.1209
Illustrations
illustrations
Index
index present
LC call number
QC174.45
LC item number
.H57 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Dirac, P. A. M.
  • Dirac equation
  • Supersymmetry
  • Quantum field theory
  • Dirac, P. A. M.
  • SCIENCE
  • Dirac equation
  • Quantum field theory
  • Supersymmetry
Label
The supersymmetric Dirac equation : the application to hydrogenic atoms, Allen Hirshfeld
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 195-198) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. The classical Kepler problem. 2.1. Central Forces. 2.2. The Laplace vector -- 3. Symmetry of the classical problem. 3.1. Lie groups and Lie algebras. 3.2. Some special Lie algebras. 3.3. Poisson brackets. 3.4. The inverse square law -- 4. From solar systems to atoms. 4.1. Rutherford scattering. 4.2. Conservation of the Laplace vector. 4.3. The differential cross section -- 5. The Bohr model. 5.1. Spectroscopic series. 5.2. The postulates of the model. 5.3. The predictions of the model. 5.4. Correction for finite nuclear mass -- 6. Interpretation of the quantum rules. 6.1. The Sommerfeld-Wilson quantization conditions. 6.2. de Broglie's wave interpretation -- 7. Sommerfeld's model for non-relativistic electrons. 7.1. Assumptions of the model. 7.2. Results of the model for non-relativistic hydrogen atoms. 7.3. The eccentricity -- 8. Quantum mechanics of hydrogenic atoms. 8.1. Quantization. 8.2. Quantum mechanical relation between
Control code
794571644
Dimensions
unknown
Extent
1 online resource (xiii, 201 pages)
Form of item
online
Isbn
9781848167988
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)794571644
Label
The supersymmetric Dirac equation : the application to hydrogenic atoms, Allen Hirshfeld
Publication
Bibliography note
Includes bibliographical references (pages 195-198) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. The classical Kepler problem. 2.1. Central Forces. 2.2. The Laplace vector -- 3. Symmetry of the classical problem. 3.1. Lie groups and Lie algebras. 3.2. Some special Lie algebras. 3.3. Poisson brackets. 3.4. The inverse square law -- 4. From solar systems to atoms. 4.1. Rutherford scattering. 4.2. Conservation of the Laplace vector. 4.3. The differential cross section -- 5. The Bohr model. 5.1. Spectroscopic series. 5.2. The postulates of the model. 5.3. The predictions of the model. 5.4. Correction for finite nuclear mass -- 6. Interpretation of the quantum rules. 6.1. The Sommerfeld-Wilson quantization conditions. 6.2. de Broglie's wave interpretation -- 7. Sommerfeld's model for non-relativistic electrons. 7.1. Assumptions of the model. 7.2. Results of the model for non-relativistic hydrogen atoms. 7.3. The eccentricity -- 8. Quantum mechanics of hydrogenic atoms. 8.1. Quantization. 8.2. Quantum mechanical relation between
Control code
794571644
Dimensions
unknown
Extent
1 online resource (xiii, 201 pages)
Form of item
online
Isbn
9781848167988
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)794571644

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