Difference between revisions of "Dynamically Shifted Oscillator"
From William Parker Wiki
| Line 43: | Line 43: | ||
|- | |- | ||
| Discretized Hamiltonian | | Discretized Hamiltonian | ||
| − | | [[File: | + | | [[File:DSOWaveFunctionDiscreteMatrix0.png]] |
| − | | [[File: | + | | [[File:DSOWaveFunctionDiscreteMatrix1.png]] |
| − | | [[File: | + | | [[File:DSOWaveFunctionDiscreteMatrix2.png]] |
| − | | [[File: | + | | [[File:DSOWaveFunctionDiscreteMatrix3.png]] |
| − | | [[File: | + | | [[File:DSOWaveFunctionDiscreteMatrix4.png]] |
|} | |} | ||
Revision as of 13:52, 1 June 2023
Contents
ξ0 = 1
Lowest Eigenvalues
Discretized Hamiltonian
| N | εi (ħω) | ||||
|---|---|---|---|---|---|
| 1000 | 0.3094688 | 0.73422037 | 1.49997346 | 2.19740304 | 2.99866356 |
Wag the Dog
| N | εi (ħω) | ||||
|---|---|---|---|---|---|
| 1000 | -- | -- | 1.496 | -- | 3.037 |
Lowest Eigenfunctions
| Method | n | ||||
|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |
| Discretized Hamiltonian | 
|
|
|
|
|
