Harmonic oscillator in quantum mechanics
http://bomber0.myid.net/ (토론)님의 2012년 2월 13일 (월) 08:20 판
Heisenberg group and Heisenberg algebra
energy eigenstates
- Assume that Planck’s constant equals 1
- a harmonic oscillator that vibrates with frequency \(\omega\) can have energy \(\frac{\omega}{2}, (1 +\frac{1}{2})\omega, (2 +\frac{1}{2})\omega,(3 +\frac{1}{2})\omega,\cdots\) in units where
- The lowest energy is not zero! It’s \(\omega/2\). This is called the ground state energy of the oscillator.
path integral formulation
Groundstate correlation functions
Green's funtion
encyclopedia
- http://ko.wikipedia.org/wiki/양자조화진동자
- http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)