Clifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations (Record no. 48777)

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fixed length control field 01726nam a2200241Ia 4500
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fixed length control field 160627s1971||||xx |||||||||||||| ||und||
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Chandrasekaran, P. S.
Relator term author
245 ## - TITLE STATEMENT
Title Clifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 1971
300 ## - PHYSICAL DESCRIPTION
Number of Pages iii; 109p.
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Dissertation note 1971
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Degree Type Ph.D
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Name of granting institution University of Madras
520 3# - SUMMARY, ETC.
Summary, etc This thesis work essentially relates to the study of the EigenVector and EigenValue structure of the matrices of the generalised clifford algebra and their possible interpretation in elementary particle physics. Sigma - operation, a generalisation of Dirac's procedure to obtain 4x4 matrices, in his famous electron wave equation forms the basic idea of initiation to this research problem. If a linear combination of higher dimensional matrices is considered, then its EigenVectors turn out to be degenerative; The concept of holicity matrices is introduced to resolve this degeneracy. The energy and holicity belong to a hierarchy of Eigenvalues. In this thesis these concepts are extended and related to the Clifford algebra of anticommuting matrices to the case of the generalised Clifford Algebra of matrices, the nth roots of the unit matrix, satisfying a generalised commutation rule. Then they are applied to the study of Symmetry principles and Elementary Particle Physics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics
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Uncontrolled term Clifford Algebra
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Uncontrolled term Elementary Particle Physics
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Uncontrolled term Symmetry Principles
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Ramakrishnan, Alladi
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/35
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Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Uniform Resource Identifier Koha item type
        IMSc Library http://www.imsc.res.in/xmlui/handle/123456789/35 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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