New Papers on Bayesian Inverse Quantum Theorie

[Joerg_Lemm]

Connectionists at cs.cmu.edu

Two papers (MS-TP1-99-6 and  MS-TP1-99-10) 
applying Bayesian methods to inverse problems in quantum mechanics
("empirical learning of potentials") are now available on-line at

    http://pauli.uni-muenster.de/~lemm/

Joerg

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1.  A Bayesian Approach to Inverse Quantum Statistics. (MS-TP1-99-6)

    J. C. Lemm, J. Uhlig, A. Weiguny
    
A nonparametric Bayesian approach is developed to determine quantum potentials
from empirical data for quantum systems at finite temperature.
The approach combines the likelihood model of quantum mechanics
with a priori information on potentials implemented in form 
of stochastic processes. Its specific advantages are the possibilities 
to deal with heterogeneous data and to express a priori information explicitly
in terms of the potential of interest. A numerical solution 
in maximum a posteriori approximation is obtained for one--dimensional 
problems. The results depend strongly on the implemented a priori information.


    http://xxx.lanl.gov/ps/cond-mat/9907013
or
    http://pauli.uni-muenster.de/~lemm/papers/iqs.ps.gz

4 pages, 6 figures

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2.  Hartree-Fock Approximation for Inverse Many-Body Problems. (MS-TP1-99-10)

    J. C. Lemm, J. Uhlig


A new method is presented to reconstruct the potential of a 
quantum mechanical many--body system from observational data,
combining a nonparametric Bayesian approach with a Hartree--Fock approximation.
A priori information is implemented as a stochastic process, 
defined on the space of potentials. The method is computationally feasible 
and provides a general framework to treat inverse problems for 
quantum mechanical many--body systems.



    http://xxx.lanl.gov/ps/nucl-th/9908056
or
    http://pauli.uni-muenster.de/~lemm/papers/ihf.ps.gz

4 pages, 2 figures


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Joerg Lemm                      
Universitaet Muenster                        Email: lemm at uni-muenster.de     
Institut fuer Theoretische Physik I          Phone:     +49(251)83-34922
Wilhelm-Klemm-Str.9                            Fax:     +49(251)83-36328
D-48149 Muenster, Germany             http://pauli.uni-muenster.de/~lemm      
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