2014/01/17 by Pedro Bargueño, Bargueño, Pedro, S. Miret‐Artés +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.48550/arxiv.1401.4405
Submitted
arxiv created 2014/01/17 · openalex publication_date 2014/01/17 · arxiv updated 2014/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we derive a generalization of the so-called Schrödinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise. Two straightforward applications to the measurement process are then analyzed, continuous and weak measurements in terms of the quantum Bohmian trajectory formalism. Finally, it is also shown that the generalized uncertainty principle, which appears in some approaches to quantum gravity, can be expressed in terms of this generalized equation