Difference between revisions of "Dynamically Shifted Oscillator"
From William Parker Wiki
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Revision as of 15:48, 2 June 2023
Contents
ξ0 = -1
Lowest Eigenvalues
| Method | Δx | εi (ħω) | ||||
|---|---|---|---|---|---|---|
| Discretized Hamiltonian | 0.010 | 0.3095 | 0.7342 | 1.5000 | 2.1974 | 2.9987 |
| Euler-Cromer | 0.001 | 0.3095 | 0.734 | 1.4997 | 2.197 | |
| Runge-Kutta 45 | 0.010 | 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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ξ0 = +1
Lowest Eigenvalues
| Method | Δx | εi (ħω) | ||||
|---|---|---|---|---|---|---|
| Discretized Hamiltonian | 0.010 | |||||
| Euler-Cromer | 0.010 | 1.499 | 3.038 | 4.328 | 5.60 | |
| Runge-Kutta 45 | 0.010 | |||||
