Time-dependent Gaussian solution for the Kostin equation around classical trajectories (2013)
- Authors:
- Autor USP: CATTANI, MAURO SERGIO DORSA - IF
- Unidade: IF
- Subjects: EQUAÇÕES DIFERENCIAIS ORDINÁRIAS; MECÂNICA QUÂNTICA (FUNDAMENTOS)
- Language: Inglês
- Abstract: The structure of time-dependent Gaussian solutions for the Kostin equation in dissipative quantum mechanics is analyzed. Expanding the generic external potential near the center of mass of the wave packet, one conclude that: the center of mass follows the dynamics of a classical particle under the external potential and a damping proportional to the velocity; the width of the wave packet satisfy a non-conservative Pinney equation. An appropriate perturbation theory is developed for the free particle case, solving the long standing problem of finding analytic expressions for square integrable solutions of the free Kostin equation. The associated Wigner function is also studied.
- Imprenta:
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ABNT
HAAS, F et al. Time-dependent Gaussian solution for the Kostin equation around classical trajectories. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1302.5459v1.pdf. Acesso em: 10 fev. 2026. , 2013 -
APA
Haas, F., Bassalo, J. M. F., Silva, D. G. da, A. B. Nassar,, & Cattani, M. S. D. (2013). Time-dependent Gaussian solution for the Kostin equation around classical trajectories. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1302.5459v1.pdf -
NLM
Haas F, Bassalo JMF, Silva DG da, A. B. Nassar, Cattani MSD. Time-dependent Gaussian solution for the Kostin equation around classical trajectories [Internet]. 2013 ;[citado 2026 fev. 10 ] Available from: http://lanl.arxiv.org/pdf/1302.5459v1.pdf -
Vancouver
Haas F, Bassalo JMF, Silva DG da, A. B. Nassar, Cattani MSD. Time-dependent Gaussian solution for the Kostin equation around classical trajectories [Internet]. 2013 ;[citado 2026 fev. 10 ] Available from: http://lanl.arxiv.org/pdf/1302.5459v1.pdf - The Ramsauer-townsend effect and the de Broglie-Bohm quantum mechanics
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