Quantum Mechanics Homework # 2 : solution
(Due : September 30, 2013)
Lecture note # 2
Homework # 1
Derive = + e (1 cos ) for the Compton scattering with initial (nal) photons wave
length ( ) and the scattering angle . The length e = h/(me c) = 2.425 1010
November 4, 2013
Particle states in a central potential in 3D
The central force with V (r) is considered. Some typical technics to solve such problem is developed
and then applied to Hydrogen atom and 3D SHO.
I.
A TWO BODY PROBLEM
We are interested in a t
December 9, 2013
Symmetries in Quantum mechanics
A symmetry principle is a statement that, when we change our point of view in certain ways, the
laws of nature do not change. In quantum mechanics, symmetry transformations must not change
transition probab
September 26, 2013
1D problems of QM
Some problems in 1D QM are solved.
Lets get started from a famous story of two gures in quantum mechanics: Dirac and Feynman. Paul Dirac was
notoriously a man of few words. Dick Feynman told the story that when he rst
September 30, 2013
Path integral formulation of QM
Hamiltonian formulation of classical mechanics provided the version of quantum mechanics we
have learned so far (canonical formulation based on Dirac brackets). In this lecture, we will describe
Lagrangia
September 23, 2013
General principles of Quantum Mechanics
This lecture will describe the principles of quantum mechanics in a formalism which is essentially
the transformation theory of Dirac.
There is no proof for quantum mechanics. What we can say is t
September 9, 2013
Lagrangian, Hamiltonian formalism of classical mechanics
We review basic ideas of Newtonian, Lagrangian and Hamiltonian mechanics.
I.
NEWTONIAN MECHANICS
A particle of mass m with an external force F is subject to follow the Newtons equa
Quantum Mechanics Homework # 3 : solution
(Due : October 14, 2013)
Lecture note # 2
Homework # 5
Write Schrdinger equation for simple harmonic oscillator in 3D with a potential V =
o
1
2 2
m x .
2
Solution :
The Schrdinger equation is i
o
t
= H. The Hami
Quantum Mechanics Homework # 1 : solution
(Due : September 23, 2013)
Lecture note # 1
Homework # 1
With the conservative force, the energy, E = 1 mx2 + V (x), is constant of time, i.e. dE/dt =
2
0.
Solution :
Conservative force can represented by potenti
September 16, 2013
Limit of classical mechanics, need for quantum mechanics.
We discuss the physics early 20th century when the limit of classical was rst noticed and the
new quantum mechanics was born.
I.
A.
PHOTONS
Einsteins photon
It was Albert Einstei