Lecture 2: Introduction to probabilities.
Gambling: the driving force behind early research in
probability.
Blaise Pascal, Pierre Fermat, etc had to answer questions like Suppose the game
has to be stopped before anyone wins. How to divide the money?
Stat

Wave (Optics) Reminder
Wave equation can be derived from Maxwells equations.
Wave equation is linear: any linear superposition of the solutions is also a
solution
2
2
1
2 2
2
x
v t
(r , t ) Ci i (r , t )
i
The Addition of Waves of Different Frequency
T

Time Independent Schrdinger Equation
How does one solve the SE for a particular shape of potential energy V(x)?
If V is independent on t, one can attempt separation of variables
Only a tiny subset of solutions can be factored this way.
But these are usefu

Basics of Quantum Mechanics
- Classical Point of View In Newtonian mechanics, the laws are written in terms of PARTICLE
TRAJECTORIES.
A PARTICLE is an indivisible mass point object that has a variety of properties
that can be measured, which we call obser

PHYS377 Quantum Mechanics I.
Fall 2016
What it contains: Schrdinger equation, probabilistic interpretation, normalization,
expectation values, the uncertainty principle, stationary states, the free particle, infinite
square well, the finite square well, t

By the beginning of the 20th century life in physics was simple.
Electromagnetic radiation was waves, electrons were particles
Probability was tolerated (e.g. in statistical physics) as a way to deal with inability
to solve ~1023 equations of motion. Or j