Validity of time-dependent trial states for the Holstein Polaron
Validity of three time-dependent trial states for the Holstein Hamiltonian, namely, the D2, Merrifield and D Ansatze has been examined in detail with regards to their deviations from the exact solution to the time-dependent Schrodinger equation. Linear absorption spectra are also calculated as an a...
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| Main Authors: | , , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
2010
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/91334 http://hdl.handle.net/10220/6304 |
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| 總結: | Validity of three time-dependent trial states for the Holstein Hamiltonian, namely, the D2, Merrifield and D Ansatze has been examined in detail with regards to their deviations from the exact solution to the time-dependent Schrodinger equation. Linear absorption spectra are also calculated as an additional indicator of the Ansatz validity. It is found that the D Ansatz is the most accurate trial state of the three, and all Ansatze fail to provide an adequate description of system dynamics in the weak-coupling regime. |
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