Quantum Mechanics

Mechanics Electrodynamics Quantum Mechanics
Problems

Tabulation of commonly used tools

 

Postulates of Quantum Mechanics
Operators
Commuting observables
Mean value and root mean square deviation of an observable
The generalized uncertainty relation
Hermitian operators
Unitary operators
The |r> and |p> representations
The R and P operators
The evolution operator
Representations
The Schroedinger and the Heisenberg picture
The interaction picture
The evolution of the mean value of an observable
The density operator
Spin ½
A system of two spin ½ particles
Angular momentum
Orbital angular momentum
Properties of the spherical harmonics
Addition of angular momentum
Scalar observables
Vector observables
A particle in a time-independent scalar potential
"Square" potentials
The WKB approximation for bound states
The Harmonic Oscillator
The eigenfunctions of the Harmonic oscillator
A particle in a central potential
The asymptotic behavior of Rkl(r)
Two interacting particles
The hydrogen atom
Unstable States
Elastic scattering
The partial wave method
Low energy scattering
The Born approximation
Approximation methods
Stationary perturbation theory
Time-dependent perturbation theory
Fermi’s golden rule
The variational method
Identical particles

Please let me know about any mistakes and omissions.  Post a message on the discussion forum or send e-mail to mbreinig@utk.edu .