B. Sc. Part III, SEMISER-V

PHYSICS (PAPER-IX)

DSE-E1 MATHEMATICAL PHYSICS

        The purpose of the course is to introduce students to methods of mathematical physics and to develop required mathematical skills to solve problems in quantum mechanics, electrodynamics and other fields of theoretical physics.

Course Outcomes:-

After successful completion of the course, the student is expected to

CO1: know the orthogonal curvilinear Co-ordinate system from three different co-ordinate systems.

CO2: Able to apply differential equations of variations to diverse problems in physics including isoperimetric problems.

CO3: Familiar with the method of separation of variables to solve linear differential equations with inhomogeneous term.

CO4: Learn the fundamental differences between Classical and Quantum Statistics and learn about quantum statistical distribution laws.

CO5: Learn the Beta, Gamma and the Error functions and their applications in doing integrations.

CO6: Learn about the special functions, such as the “Hermite polynomial”, “Legendre Polynomial”, “Laguerre polynomial” and “Bessel functions” and their differential mechanics which they will learn in future courses in detail.

Skills to be learned:-

• Training in mathematical tools like calculus, integration, series solution approach, special function will prepare the student to solve ODE, PDEs which model physical phenomena.

        Student shall develop an understanding of how to model a given physical phenomena such as pendulum motion, rocket motion, stretched string, etc., into set of Ordinary Differential Equations, Partial Differential Equations and solve them.