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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