"Harmonic oscillator in quantum mechanics"의 두 판 사이의 차이

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1번째 줄: 1번째 줄:
[[Heisenberg group and Heisenberg algebra]]
 
 
[[Schrodinger equation]]
 
 
 
 
 
 
 
 
 
 
 
<h5>energy  eigenstates</h5>
 
 
*  Assume that Planck’s constant equals 1<br>
 
 
*  a harmonic oscillator that vibrates with frequency <math>\omega</math> can have energy <math>\frac{\omega}{2}, (1 +\frac{1}{2})\omega, (2 +\frac{1}{2})\omega,(3 +\frac{1}{2})\omega,\cdots</math> in units where<br>
 
*  The lowest energy is not zero! It’s <math>\omega/2</math>. This is called the ground state energy of the oscillator.<br>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
<h5>path integral formulation</h5>
 
<h5>path integral formulation</h5>
  
 
+
* Groundstate correlation functions
 
 
 
 
 
 
 
 
 
 
Groundstate correlation functions
 
 
 
 
 
  
 
 
 
 
47번째 줄: 14번째 줄:
  
 
<h5>related items</h5>
 
<h5>related items</h5>
 +
 +
* [[Heisenberg group and Heisenberg algebra]]
 +
* [[Schrodinger equation]]
  
 
* [[free massless boson]]
 
* [[free massless boson]]

2012년 2월 17일 (금) 05:51 판