MARC details
000 -LEADER |
fixed length control field |
05067cam a2200445Ii 4500 |
001 - CONTROL NUMBER |
control field |
ocn794571644 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240726105329.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
120531s2012 enka ob 001 0 eng d |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
UIU |
Language of cataloging |
eng |
Description conventions |
pn |
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rda |
Transcribing agency |
UIU |
Modifying agency |
E7B |
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YDXCP |
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DEBSZ |
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NT |
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CDX |
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IDEBK |
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OCLCF |
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NLGGC |
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EBLCP |
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OCLCQ |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781848167988 |
Qualifying information |
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050 04 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QC174 |
Item number |
.S874 2012 |
049 ## - LOCAL HOLDINGS (OCLC) |
Holding library |
MAIN |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Hirshfeld, Allen C. |
Relator term |
Author |
245 10 - TITLE STATEMENT |
Title |
The supersymmetric Dirac equation |
Remainder of title |
the application to hydrogenic atoms / |
Statement of responsibility, etc. |
Allen Hirshfeld. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
London : |
Name of publisher, distributor, etc. |
Imperial College Press ; |
Date of publication, distribution, etc. |
(c)2012. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Hackesack, NJ : |
Name of publisher, distributor, etc. |
World Scientific Publishers [distributor], |
Date of publication, distribution, etc. |
(c)2012. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
1 online resource (xiii, 201 pages) : |
Other physical details |
illustrations |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
data file |
Source |
rda |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes bibliographies and index. |
505 00 - FORMATTED CONTENTS NOTE |
Formatted contents note |
14.4 The Johnson-Lippmann Operator as the Generator of Supersymmetry15. Extending the Solution Space; 15.1 The -Induced Radial Supersymmetry; 15.2 The Supersymmetric Ground State in the Representation; 15.3 The General Solutions in the Representation; 16. A Different Extension of the Solution Space; 16.1 The .-Induced Radial Supersymmetry; 16.2 The Supersymmetric Ground State in the Representation; 16.3 The General Solutions in the Representation; 17. The Relation of the Solutions to Kramer's Equation; 17.1 The Eigenvalue Problem for Traceless 2 × 2 Matrices. |
505 00 - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface; Contents; List of Figures; 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. |
505 00 - FORMATTED CONTENTS NOTE |
Formatted contents note |
6. Interpretation of the Quantum Rules6.1 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 A and L; 8.3 Pauli's Hydrogenic Realization of so(4); 8.4 so(4) and the Spectrum of Hydrogenic Atoms; 9. The Schrödinger Equation and the Confluent Hypergeometric Functions. |
505 00 - FORMATTED CONTENTS NOTE |
Formatted contents note |
9.1 The Schrödinger Equation and Its Solutions9.2 Laguerre Polynomials and Associated Laguerre Functions; 10. Non-Relativistic Hydrogenic Atoms with Spin; 10.1 Spin Variables, the Pauli Hamiltonian and Factorization; 10.2 A Theorem Concerning the Anticommutation of K; 10.3 Pauli Spinors; 10.4 Concerning the Operator (r); 10.5 The Key Equation: Concerning the Operator (A); 10.6 The Factorization Method; 10.7 The Definition of Eccentricity; 11. Elements of Supersymmetric Quantum Mechanics; 11.1 General Considerations; 11.2 Supersymmetry of Non-Relativistic Hydrogenic Atoms. |
505 00 - FORMATTED CONTENTS NOTE |
Formatted contents note |
12. Sommerfeld's Derivation of the Relativistic Energy Level Formula12.1 Assumptions of the Model; 12.2 The Energies of the Bound States; 13. The Dirac Equation; 13.1 The Hamiltonian; 13.2 Total Angular Momentum; 13.3 The Dirac Operator; 13.4 A Complete Set of Mutually Commuting Operators; 13.5 The Dirac Spinors; 13.6 The Radial Equations in Polar Coordinates; 14. The Primary Supersymmetry of the Dirac Equation; 14.1 A Derivation of the Johnson-Lippmann Operator; 14.2 Commutation and Anticommutation Relations of the Johnson-Lippmann Operator; 14.3 Eccentricity. |
520 0# - SUMMARY, ETC. |
Summary, etc. |
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. |
530 ## - COPYRIGHT INFORMATION: |
COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
Uniform Resource Identifier |
<a href="b">b</a> |
600 10 - SUBJECT ADDED ENTRY--PERSONAL NAME |
Personal name |
Dirac, P. A. M. |
Fuller form of name |
(Paul Adrien Maurice), |
Dates associated with a name |
1902-1984. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Dirac equation. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Supersymmetry. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Quantum field theory. |
655 #1 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Electronic Books. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=516766&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=516766&site=eds-live&custid=s3260518</a> |
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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
DONATED BY: |
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VENDOR |
EBSCO |
Classification part |
QC. |
PUBLICATION YEAR |
2012 |
LOCATION |
ONLINE |
REQUESTED BY: |
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NFIC |
Source of classification or shelving scheme |
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994 ## - |
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92 |
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NT |
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
a |
1 |
b |
Cynthia Snell |
c |
1 |
d |
Cynthia Snell |