ACADSTAFF UGM
| Title | : | Solution Of The Time Dependent Schrodinger Equation Using The Higher Order Trotter-Suzuki Method |
| Author | : |
DHEA C OCTAVIANTY (1) Prof. Drs. Pekik Nurwantoro, M.S., Ph.D. (2) |
| Date | : | 28 2022 |
| Keyword | : | Time-Dependent Schr ?odinger Equation; Trotter – Suzuki decomposition high order; Baker – Campbell – Hausdorff Time-Dependent Schr ?odinger Equation; Trotter – Suzuki decomposition high order; Baker – Campbell – Hausdorff |
| Abstract | : | We solve the solution of the Time-Dependent Schr ̈odinger Equation (TDSE) using the higher-order Trotter-Suzuki Decomposition. We use The Gaussian function as a stationary state in a linear potential system. The TDSE solution using Baker-Campbell-Hausdorff was used to validate the results and to measure the accuracy of the Trotter-Suzuki decomposition. So that the difference between the Baker-Campbell-Hausdorff result and the Suzuki-Trotter decomposition is considered an error. The error of the TDSE solution by the Trotter - Suzuki second-order decomposition was lower than the first order. Meanwhile, the error of the TDSE solution by second-order hybrid will be lower than the second-order Trotter - Suzuki decomposition when the value of dx = 0.1 and 0.05 with dt ≤ 0.0001. The error comparison of these three methods is only valid when time t < 1. |
| Group of Knowledge | : | Fisika |
| Original Language | : | English |
| Level | : | Nasional |
| Status | : |
Published
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| No | Title | Action |
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| 1 |
Solution of the Time Dependent Schr ?odinger EquationUsing the Higher Order Trotter-Suzuki Method.pdf
Document Type : [PAK] Full Dokumen
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| 2 |
Solution of the Time Dependent Schr¨odinger Equation Using the Higher Order Trotter-Suzuki Method.pdf
Document Type : [PAK] Cek Similarity
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