2. TOC
Introduction to quantum Mechanics
Wave-particle duality, Matter waves
Wave function and basic postulates
Schrodinger’s Wave Equation
Applications of the Schrodinger’s Equation (1D, 3D box)
Degeneracy
Physical Interpretation of Wave Function
Normalization and Orthogonalization of Wave Function
3. Introduction to quantum Mechanics
01 Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave
mechanical model and matrix mechanics), including quantum field theory, is a fundamental
theory in physics. It describes advanced properties of nature on an atomic scale.
02 Classical physics, the description of physics that existed before the theory of relativity and
quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale,
while quantum mechanics explains the aspects of nature at small (atomic and subatomic)
scales, for which classical mechanics is insufficient.
03 The foundations of quantum mechanics were established during the first half of the 20th
century by Max Planck, Niels Bohr, Werner Heisenberg, Louis de Broglie, Arthur Compton,
Albert Einstein, Erwin Schrödinger, Max Born, John von Neumann, Paul Dirac, Enrico Fermi,
Wolfgang Pauli, Max von Laue, Freeman Dyson, David Hilbert, Wilhelm Wien, Satyendra Nath
Bose, Arnold Sommerfeld, and others.
6. Wave-particle duality, Matter waves
Does All Matter Exhibit Wave-like Properties?
All matter exhibits wave-like properties and relates the observed
wavelength of matter to its momentum.
All material particles in motion shows a wave character these waves are
called “Matter Waves” or “De Broglie Waves”
De Broglie Hypothesis
7. Wave function and basic postulates
The varying quantity characterizing the matter waves it denoted by at a point i.e. the
quantity whose variation makes up matter waves in known as wave function
8. Physical Interpretations of Wave Function
Wave function is a complex quantity so it has no physical meaning and can be expressed in form of complex
quantity