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Stochastic solution to quantum dynamics
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Wilson, John W. John, Sarah |
| Copyright Year | 1994 |
| Description | The quantum Liouville equation in the Wigner representation is solved numerically by using Monte Carlo methods. For incremental time steps, the propagation is implemented as a classical evolution in phase space modified by a quantum correction. The correction, which is a momentum jump function, is simulated in the quasi-classical approximation via a stochastic process. The technique, which is developed and validated in two- and three- dimensional momentum space, extends an earlier one-dimensional work. Also, by developing a new algorithm, the application to bound state motion in an anharmonic quartic potential shows better agreement with exact solutions in two-dimensional phase space. |
| File Size | 1188261 |
| Page Count | 42 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19940022047 |
| Archival Resource Key | ark:/13960/t6p033h6n |
| Language | English |
| Publisher Date | 1994-02-01 |
| Access Restriction | Open |
| Subject Keyword | Space Radiation Algorithms Stochastic Processes Liouville Equations Quantum Mechanics Momentum Transport Theory Monte Carlo Method Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
