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Topics covered under Mathematical Physics Assignment help :
- Vector calculus, Gradient, Divergence Curl in curvilinear coordinates applications to
- Classical mechanics Electrodynamics.
- Linear independence, bases, orthogonality completeness, Gram Schmidt orthogonalization,
- Hilbert space, linear operators, change of basis, similarity transformation, dual spaces,
- applications to quantum mechanics.
- Matrix diagonalization, eigenvalues eigenvectors, orthogonal unitary matrices, Pauli
- matrices.
- Dirac delta function, definitions different representations of delta functions,
- applications to Electrodynamics.
- Tensors in index notation, Kronecker Levi Civita tensors, inner outer products,
- contraction, symmetric antisymmetric tensors, quotient law.
- Metric tensors, covariant contravariant tensors, simple applications to general theory of
- relativity Klein Gordon Dirac equations in relativistic quantum mechanics
- Cauchy Riemann conditions, analyticity, Cauchy Goursat theorem Cauchy’s integral formula,
- branch points branch cuts, multivalued functions, residue theorem.
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