Abstract
A maximum entropy based approximation to the energy eigenstates of a quantum system, suitable for both inference and variational procedures, is presented. Application to many-fermion Hamiltonians and to the single particle Schrödinger equation is discussed.
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References
E.T. Jaynes, Phys. Rev. 106 (1957) 620; Phys. Rev. 108 (1957) 171.
E.T. Jaynes, Papers on Probability, Statistics and Statistical Physics’, R.D. Rosenkrantz (ed.), Synthese series vol. 158, Reidel, Dordrecht.
R. Balian, Y. Alhassid, H. Reinhardt, Phys. Rep. 131 (1986) 1.
R. Balian, N.L. Balazs, Ann. of Phys. (N.Y.) 179 (1987) 97.
R. Balian, M. Veneroni, Ann. of Phys. (N.Y.) 174 (1987) 229.
N. Canosa, A. Plastino, R. Rossignoli, Phys. Rev. A40 (1989) 519.
N. Canosa, R. Rossignoli, A. Plastino, Nnel. Phys. A512 (1990) 520; Phys. Rev. A43 (1991) 1145.
N. Canosa, R. Rossignoli, A. Plastino, H. Miller, Phys. Rev. C45 (1992) 1162.
L. Arrachea, N. Canosa, A. Plastino, M. Portesi, R. Rossignoli, Phys. Rev. A45 (1992) 7104.
N. Canosa, R. Rossignoli, A. Plastino, Nile!. Phys. A (in press).
M.Casas, A. Plastino, A. Puente, N. Canosa, R. Rossignoli, to be published.
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© 1993 Springer Science+Business Media Dordrecht
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Canosa, N., Rossignoli, R., Plastino, A. (1993). Maximum Entropy Descriptions of Quantum Wave Functions. In: Mohammad-Djafari, A., Demoment, G. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2217-9_20
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DOI: https://doi.org/10.1007/978-94-017-2217-9_20
Publisher Name: Springer, Dordrecht
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