Von Neumann equations with time-dependent Hamiltonians and supersymmetric quantum mechanics
| dc.creator | Czachor, Marek | |
| dc.creator | Doebner, Heinz-Dietrich | |
| dc.creator | Syty, Monika | |
| dc.creator | Wasylka, Krzysztof | |
| dc.date | 1999-07-17 | |
| dc.date.accessioned | 2026-07-07T12:17:14Z | |
| dc.date.available | 2026-07-07T12:17:14Z | |
| dc.description | Starting with a time-independent Hamiltonian $h$ and an appropriately chosen solution of the von Neumann equation $i\dotρ(t)=[ h,ρ(t)]$ we construct its binary-Darboux partner $h_1(t)$ and an exact scattering solution of $i\dotρ_1(t)=[h_1(t),ρ_1(t)]$ where $h_1(t)$ is time-dependent and not isospectral to $h$. The method is analogous to supersymmetric quantum mechanics but is based on a different version of a Darboux transformation. We illustrate the technique by the example where $h$ corresponds to a 1-D harmonic oscillator. The resulting $h_1(t)$ represents a scattering of a soliton-like pulse on a three-level system. | |
| dc.description | revtex, 3 eps files | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9907059 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9907059 | |
| dc.identifier | Phys.Rev.E61:3325-3329,2000 | |
| dc.identifier | doi:10.1103/PhysRevE.61.3325 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212054 | |
| dc.subject | Quantum Physics | |
| dc.title | Von Neumann equations with time-dependent Hamiltonians and supersymmetric quantum mechanics | |
| dc.type | text |