TY - JOUR A1 - Kröger, Helmut A1 - Hosseinizadeh, Ahmad A1 - Laprise, Jean-François A1 - Kröger, Jens T1 - Spectrum and wave functions of excited states in lattice gauge theory T2 - Proceedings of Science N2 - We suggest a new method to compute the spectrum and wave functions of excited states. We construct a stochastic basis of Bargmann link states, drawn from a physical probability density distribution and compute transition amplitudes between stochastic basis states. From such transition matrix we extract wave functions and the energy spectrum. We apply this method toU(1)2+1 lattice gauge theory. As a test we compute the energy spectrum, wave functions and thermodynamical functions of the electric Hamiltonian and compare it with analytical results. We find excellent agreement. We observe scaling of energies and wave functions in the variable of time. We also present first results on a small lattice for the full Hamiltonian including the magnetic term. Y1 - 2008 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7947 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-60919 UR - https://pos.sissa.it/066/235/pdf SN - 1824-8039 N1 - Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. http://pos.sissa.it/ VL - 2008 IS - (LATTICE 2008)235 SP - 1 EP - 7 PB - SISSA CY - Trieste ER -