Estb. 1882

University of the Punjab

MATH-409 Quantum Mechanics-I

Inadequacy of Classical Mechanics  Black body radiation
 Photoelectric effect
 Compton effect
 Bohr’s theory of atomic structure
 Wave-particle duality
 The de Broglie postulate
 Heisenberg uncertainty principle The Postulates of Quantum Mechanics: Operators, Eigenfunctions and Eigenvalues  Observables and operators
 Measurement in quantum mechanics
 The state function and expectation values
 Time development of the state function (Schrödinger wave equation)
 Solution to the initial-value problem in quantum mechanics
 Parity operators Preparatory Concepts: Function Spaces and Hermitian Operators
 Particle in a box
 Dirac notation
 Hilbert space
 Hermitian operators
 Properties of Hermitian operators
Additional One-Dimensional Problems: Bound and Unbound States
 General properties of the 1-dimensional Schrodinger equation
 Unbound states
 One-dimensional barrier problems
 The rectangular barrier: Tunneling
Credit hours/ Marks:- 3

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