Difference between revisions of "Dynamically Shifted Oscillator"
From William Parker Wiki
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| [[File:DSOWaveFunctionDiscreteMatrix3.png|200px]] | | [[File:DSOWaveFunctionDiscreteMatrix3.png|200px]] | ||
| [[File:DSOWaveFunctionDiscreteMatrix4.png|200px]] | | [[File:DSOWaveFunctionDiscreteMatrix4.png|200px]] | ||
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| + | | Euler-Cromer | ||
| + | | [[File:DSOWaveFunctionEulerCromer0.png|200px]] | ||
| + | | [[File:DSOWaveFunctionEulerCromer1.png|200px]] | ||
| + | | [[File:DSOWaveFunctionEulerCromer2.png|200px]] | ||
| + | | [[File:DSOWaveFunctionEulerCromer3.png|200px]] | ||
| + | | -- | ||
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| Power Series | | Power Series | ||
Revision as of 15:31, 2 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 | 
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| Euler-Cromer | 
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| Power Series | 200px | 200px | 200px | 200px | 
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