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- Title
Another Solution to the Schrödinger-Langevin Equation.
- Authors
Mendoza Suárez, Jairo Alonso; López Carreño, Juan Carlos; Mendoza Suárez, Rosalba
- Abstract
Introduction: an alternative solution to the Schrodinger-Langevin equation is presented, where the temporal dependence is explained, assuming a Coulomb potential. Finally, the trajectory equations are found. Objective: in this paper we contribute by presenting a detailed and simple solution of the Schrödinger-Langevin equation for a Coulomb potential. Materials and Methods: using an appropriate ansatz, we solve the Schrödinger-Langevin equation, finding the expected values of position and moment. Results: a simple method was presented to find the expected position and moment values in the Schrödinger-Langevin equation, the ansatz used to find these solutions allows the model to be generalized in a certain way to electric potentials and harmonic oscillators. Conclusions: the model used to solve the Schrödinger-Langevin equation, allowed to find the expected values of position and moment of a particle in a Coulomb potential, the temporal dependence of such solutions is made explicit, which allows finding the path equations of the particles.
- Subjects
COULOMB potential; SCHRODINGER equation; QUANTUM theory; ELECTRIC potential; HARMONIC oscillators; QUANTUM mechanics; DIFFERENTIAL equations; QUANTUM trajectories
- Publication
Revista Lasallista de Investigación, 2021, Vol 18, Issue 1, p25
- ISSN
1794-4449
- Publication type
Article
- DOI
10.22507/rli.v18n1a2