PH 101 Physics
2-1-0-6
Prerequisite: Nil
Syllabus:
Calculus of
variation: Fermat’s principle, Principle of least action,
Euler-Lagrange equations and its applications.
Lagrangian
mechanics: Degrees of freedom, Constraints and constraint
forces, Generalized coordinates, Lagrange’s equations of motion, Generalized
momentum, Ignorable coordinates, Symmetry and conservation laws, Lagrange
multipliers and constraint forces.
Hamiltonian
mechanics: Concept of phase space, Hamiltonian, Hamilton’s
equations of motion and applications.
Special
Theory of Relativity: Postulates of STR. Galilean transformation. Lorentz
transformation. Simultaneity. Length Contraction. Time dilation. Relativistic
addition of velocities. Energy momentum relationships.
Quantum
Mechanics: Two-slit experiment. De Broglie’s hypothesis.
Uncertainty Principle, wave function and wave packets, phase and group
velocities. Schrödinger Equation. Probabilities and Normalization. Expectation
values. Eigenvalues and eigenfunctions.
Applications
in one dimension: Infinite potential well and energy quantization.
Finite square well, potential steps and barriers - notion of tunnelling,
Harmonic oscillator problem zero point energy, ground state wavefunction and
the stationary states.
Texts:
1.Takwale R and Puranik P, Introduction
to Classical Mechanics, 1st Edition, McGraw Hill
Education, 2017.
2.John Taylor, Classical
mechanics, University Science Books, 2005
3.R. Eisberg and R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles, 2nd
Edition, John-Wiley, 2006.
References:
1.A Student’s
Guide to Lagrangians and Hamiltonians by Patrick
Hamill (Cambridge University Press, 1st edition, 2013).
2.Theoretical
Mechanics by M. R. Spiegel (Tata McGraw Hill, 2008).
3.The Feynman
Lectures on Physics, Vol. I by R. P. Feynman, R. B. Leighton, and M. Sands,
(Narosa Publishing House, 1998).
4.Introduction
to Special Relativity by R. Resnick (John Wiley, Singapore, 2000).
5.Quantum
Physics by S. Gasiorowicz (John Wiley (Asia), 2000).
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