Quantum Mechanics�Lecture 1
Overall Lecture 7
CML101
August 09, 2024
Common Quiz �Date: August 22 �Thursday�Time: 7:00 pm�Duration: 45 minutes�Room details to be shared with you later
POSTULATE 1
The state of a quantum mechanical particle is completely specified by a wave function Ψ (x). To simplify the notation, only one spatial coordinate is considered. The probability that the particle will be found in a spatial interval of width dx centered at x0 is given by Ψ*(x0) Ψ (x0)dx.
All dynamical information is contained in the wavefunction Ψ for the system, which is a mathematical function found by solving the Schrödinger equation for the system. By 'dynamical information' is meant information about all aspects of the particle's motion, such as its location, momentum, and energy.
The Born Interpretation
Max Born’s Interpretation of Probability
Gives the Probability of finding the particle within a region of x and x+dx on the x-axis
Probability Density for finding the particle at various places on the x-axis
Normalization