ho_fs_ident.nb: 10/14/04::22:47:34 1
Harmonic Oscillator, a, a†, Fock Space, Identicle Particles, Bose/Fermi
This set of lectures introduces the algebraic treatment of the Harmonic Oscillator and applies the result to a string, a prototypical system with a large number of degrees of freedom. That system is used to introduce Fock space, discuss systems of identicle particles and introduce Bose/Fermi annihilation and creation operators.
Á Harmonic Oscillator
ü Classic SHO
The classical Hamiltonian for the simple harmonic oscillator is
1 2 k 2 1 2 mw2 2 H = ÅÅÅÅÅÅÅÅÅ2 m p + ÅÅÅÅ2 x = ÅÅÅÅÅÅÅÅÅ2 m p + ÅÅÅÅÅÅÅÅÅÅÅÅ2 x
This leads to simple harmonic motion