UNIT 1- Wave Properties of Matter
Introduction – Phase velocity and Group velocity – Analytical expression for a group of
waves – Nature of De’Broglie relation – Derivation of the De’Broglie relation – Phase
velocity of De’Broglie waves – Relation between the Phase velocity and the wavelength of
De’Broglie wave – De’Broglie wavelength associated with a particle of mass M and kinetic
energy – Verification of De’Broglie relation – Davission and Germer’s experiments – G P
Thomson’s experiments.
UNIT 2 - Uncertainty Principle
Introduction – Uncertainty Principle – Elementary proof between – Displacement and
Momentum – Energy and Time – Physical Significance of Heisenberg’s Uncertainty
Anx.22 D - B.Sc. Physics (SDE) 2007-08 Page 10 of 21
Principle – Illustration – Diffraction of electrons through a slit – Gamma ray microscope
thought experiment – Application – Non-existence of free electrons in the nucleus – Size and
Energy in the ground state of Hydrogen atom
UNIT 3 - Schrödinger’s Wave Equation
Introduction – Wave function for a free particle – Schrödinger’s One dimensional wave
equation – Time-dependent and Time independent – Physical interpretation - Limitation –
Normalization of wave function – Operators – Eigen function – Eigen Value – Eigen
equation – Operator for Momentum, Kinetic Energy and Total Energy – Postulates of
Quantum Mechanics – Orthogonality of Energy Eigen function – Proof – Probability current
density – Ehruenfest’s theorem – Statement and proof.
UNIT 4 - Spherical Symmetrical systems
Three dimensional schrödinger’s wave equation –Hydrogen atom – Wave equation for the
Motion of a electron – Separation of variables – Azimuthal wave equation and its solution –
Radial wave equation and it’s solutions – Polar wave equation and its solution – Ground size
of the Hydrogen atom.
UNIT 5 – Relativity
Galilean Transformation equation – Ether Hypothesis – Michelson-Morley experiment –
Explanation of the Negative results – special theory of Relativity – Lorentz transformation
equation – Length contraction – Time dilation – Addition of Velocities – Variation of Mass
with velocity – Mass energy equivalence.

## BSc Subjects