On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems
We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss som...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/731602 |
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| _version_ | 1832550786866872320 |
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| author | M. Gianfreda G. Landolfi |
| author_facet | M. Gianfreda G. Landolfi |
| author_sort | M. Gianfreda |
| collection | DOAJ |
| description | We discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no timedependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well-defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems. |
| format | Article |
| id | doaj-art-3e455db7d1d04d9784649cc06d41aaf1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3e455db7d1d04d9784649cc06d41aaf12025-02-03T06:05:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/731602731602On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic SystemsM. Gianfreda0G. Landolfi1Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Universitá del Salento and INFN, Sezione di Lecce, 73100 Lecce, ItalyDipartimento di Matematica e Fisica “Ennio De Giorgi”, Universitá del Salento and INFN, Sezione di Lecce, 73100 Lecce, ItalyWe discuss conditions giving rise to stationary position-momentum correlations among quantum states in the Fock and coherent basis associated with the natural invariant for the one-dimensional time-dependent quadratic Hamiltonian operators such as the Kanai-Caldirola Hamiltonian. We also discuss some basic features such as quantum decoherence of the wave functions resulting from the corresponding quantum dynamics of these systems that exhibit no timedependence in their quantum correlations. In particular, steady statistical momentum averages are seen over well-defined time intervals in the evolution of a linear superposition of the basis states of modified exponentially damped mass systems.http://dx.doi.org/10.1155/2012/731602 |
| spellingShingle | M. Gianfreda G. Landolfi On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems Advances in Mathematical Physics |
| title | On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems |
| title_full | On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems |
| title_fullStr | On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems |
| title_full_unstemmed | On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems |
| title_short | On the Existence and Robustness of Steady Position-Momentum Correlations for Time-Dependent Quadratic Systems |
| title_sort | on the existence and robustness of steady position momentum correlations for time dependent quadratic systems |
| url | http://dx.doi.org/10.1155/2012/731602 |
| work_keys_str_mv | AT mgianfreda ontheexistenceandrobustnessofsteadypositionmomentumcorrelationsfortimedependentquadraticsystems AT glandolfi ontheexistenceandrobustnessofsteadypositionmomentumcorrelationsfortimedependentquadraticsystems |