Clifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations

DSpace/Manakin Repository

Clifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations

Show simple item record

dc.contributor.author Chandrasekaran, P. S.
dc.date.accessioned 2009-08-04T06:47:53Z
dc.date.available 2009-08-04T06:47:53Z
dc.date.issued 2009-08-04T06:47:53Z
dc.date.submitted 1971
dc.identifier.uri http://hdl.handle.net/123456789/35
dc.description.abstract 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. en_US
dc.subject Clifford Algebra en_US
dc.subject Symmetry Principles en_US
dc.subject Elementary Particle Physics en_US
dc.title Clifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations en_US
dc.type.degree Ph.D en_US
dc.type.institution University of Madras en_US
dc.description.advisor Ramakrishnan, Alladi
dc.description.pages iii; 109p. en_US
dc.type.mainsub Physics en_US

Files in this item

Files Size Format View
UNMTH12.pdf 5.371Mb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account