The supersymmetric Dirac equation (Record no. 96805)

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
-- rda
Transcribing agency UIU
Modifying agency E7B
-- YDXCP
-- DEBSZ
-- NT
-- CDX
-- IDEBK
-- OCLCF
-- NLGGC
-- EBLCP
-- OCLCQ
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781848167988
Qualifying information
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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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)
DONATED BY:
VENDOR EBSCO
Classification part QC.
PUBLICATION YEAR 2012
LOCATION ONLINE
REQUESTED BY:
--
-- NFIC
Source of classification or shelving scheme
994 ## -
-- 92
-- NT
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN)
a 1
b Cynthia Snell
c 1
d Cynthia Snell
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
        Non-fiction G. Allen Fleece Library G. Allen Fleece Library ONLINE 07/07/2023 EBSCO   QC174.45 ocn794571644 07/07/2023 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=516766&site=eds-live&custid=s3260518 07/07/2023 Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)