Inverse Time-Dependent Quantum Mechanics

2000/02/02 by J. C. Lemm, Lemm, J. C.
Computer Science · Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #Statistics and Probability (physics.data-an) #physics.data-an #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0002010

4 pages, 5 figures

arxiv created 2000/02/02 · openalex publication_date 2000/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a new Bayesian method for solving inverse quantum problems, potentials of quantum systems are reconstructed from coordinate measurements in non-stationary states. The approach is based on two basic inputs: 1. a likelihood model, providing the probabilistic description of the measurement process as given by the axioms of quantum mechanics, and 2. additional "a priori" information implemented in form of stochastic processes over potentials.

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• Bayesian Field Theory: Nonparametric Approaches to Density Estimation, Regression, Classification, and Inverse Quantum Problems

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