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PG TRB PHYSICS STUDY MATERIALS UNIT 1 MATHEMATICAL PHYSICS:

PHYSICS
(Subject Code: P04)
UNIT- I -
Vector Fields
General expression for gradient, divergence curl an
d Laplace operators in orthogonal curvilinear
Co-ordinates and their explicit form in Cartesion s
pherical-co-ordinates, Stokes theorem and Gauss
theorem.
Matrix theory
s and Eigen vectors - characteristic equation –
Cayely Hamilton theorem – Diagonalisation and Diago
nalizability of unitary orthogonal. Hermitian and
symmetric matrices.
Special functions
Legendre, Hermite and Lagune equation basic properties – Gamma and Beta functions;
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