Massimo Ostilli and Carlo Presilla 2004 New J. Phys. 6 107 doi:10.1088/1367-2630/6/1/107
Ground state of many-body lattice systems: an analytical probabilistic approach
Massimo Ostilli1,2 and Carlo Presilla1,2,3
Show affiliationsOn the grounds of a Feynman–Kac-type formula for Hamiltonian lattice systems, we derive analytical expressions for the matrix elements of the evolution operator. These expressions are valid at long times when a central limit theorem applies. As a remarkable result, we find that the ground-state energy as well as all the correlation functions in the ground state are determined semi-analytically by solving a simple scalar equation. Furthermore, explicit solutions of this equation are obtained in the noninteracting case.
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Issue 1 (August 2004)
Received 16 April 2004
Published 12 August 2004
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Ground state of many-body lattice systems: an analytical probabilistic approach
Massimo Ostilli and Carlo Presilla 2004 New J. Phys. 6 107
-
Switching behaviour and DC electrical conductivity of epoxy-resin/metal-powder composites
F F T de Araujo and H M Rosenberg 1976 J. Phys. D: Appl. Phys. 9 1025
-
Perturbations of Friedmann-Robertson-Walker cosmological models
J M Stewart 1990 Class. Quantum Grav. 7 1169
-
Structure-unknown non-linear dynamic systems: identification through neural networks
S F Masri et al 1992 Smart Mater. Struct. 1 45
-
International comparison of 127I2-stabilized frequency-doubled Nd:YAG lasers between the BIPM, the NRLM and the BNM-INM, October 2000
L Robertsson et al 2001 Metrologia 38 567
-
Grassmannian Kaluza-Klein theory
P Ellicott and D J Toms 1989 Class. Quantum Grav. 6 1033
-
General relativity as the low-energy limit in higher derivative quantum gravity
S D Odintsov and I L Shapiro 1992 Class. Quantum Grav. 9 873
-
On the d electron contribution to the electrical conductivity of liquid transition metals
A ten Bosch and K H Bennemann 1975 J. Phys. F: Met. Phys. 5 1333
-
Low noise, constant loop gain, ac amplifier details
D Griffiths 1970 J. Phys. E: Sci. Instrum. 3 243
-
Experimental tests of quantum nonlinear dynamics in atom optics
Winfried K Hensinger et al 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R83
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