Difference between revisions of "Dynamically Shifted Oscillator"
From William Parker Wiki
(→Lowest Eigenfunctions) |
(→Lowest Eigenfunctions) |
||
Line 48: | Line 48: | ||
| [[File:DSOWaveFunctionDiscreteMatrix3.png|200px]] | | [[File:DSOWaveFunctionDiscreteMatrix3.png|200px]] | ||
| [[File:DSOWaveFunctionDiscreteMatrix4.png|200px]] | | [[File:DSOWaveFunctionDiscreteMatrix4.png|200px]] | ||
+ | |- | ||
+ | | Power Series | ||
+ | | [[File:DSOWaveFunctionPowerSeries0.png|200px]] | ||
+ | | [[File:DSOWaveFunctionPowerSeries1.png|200px]] | ||
+ | | [[File:DSOWaveFunctionPowerSeries2.png|200px]] | ||
+ | | [[File:DSOWaveFunctionPowerSeries3.png|200px]] | ||
+ | | [[File:DSOWaveFunctionPowerSeries4.png|200px]] | ||
|} | |} |
Revision as of 14:01, 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 | |||||
Power Series | 200px | 200px | 200px | 200px |