Grassmann coherent states for spin systems

Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing ov...

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Detalles Bibliográficos
Autores principales: Anicich, P.G.O., Grinberg, H.
Formato: JOUR
Materias:
Grassmann algebra
Ising model
Path integral
Spin system
acceleration
algorithm
conference paper
mathematical model
molecular interaction
partition coefficient
quantum mechanics
system analysis
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01661280_v621_n1-2_p9_Anicich
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_01661280_v621_n1-2_p9_Anicich2023-10-03T15:03:30Z Grassmann coherent states for spin systems Anicich, P.G.O. Grinberg, H. Grassmann algebra Ising model Path integral Spin system acceleration algorithm conference paper mathematical model molecular interaction partition coefficient quantum mechanics system analysis Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing over Grassmann variables in the imaginary time domain, to the partition function. A spin 1/2 Hamiltonian involving the whole set of interactions is considered. The partition function, obtained as a cluster expansion expressed as an ordered sum over all possible sites, is more realistic than the partition function of the traditional Ising model involving only first neighbor interactions. © 2002 Elsevier Science B.V. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01661280_v621_n1-2_p9_Anicich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Grassmann algebra
Ising model
Path integral
Spin system
acceleration
algorithm
conference paper
mathematical model
molecular interaction
partition coefficient
quantum mechanics
system analysis
spellingShingle Grassmann algebra
Ising model
Path integral
Spin system
acceleration
algorithm
conference paper
mathematical model
molecular interaction
partition coefficient
quantum mechanics
system analysis
Anicich, P.G.O.
Grinberg, H.
Grassmann coherent states for spin systems
topic_facet Grassmann algebra
Ising model
Path integral
Spin system
acceleration
algorithm
conference paper
mathematical model
molecular interaction
partition coefficient
quantum mechanics
system analysis
description Short-time propagator algorithms and a discrete-time formalism are used in combination with a basis set involving Grassmann variables coherent states to get the generating function associated to a system containing spin degrees of freedom. This generating function leads, after an adequate tracing over Grassmann variables in the imaginary time domain, to the partition function. A spin 1/2 Hamiltonian involving the whole set of interactions is considered. The partition function, obtained as a cluster expansion expressed as an ordered sum over all possible sites, is more realistic than the partition function of the traditional Ising model involving only first neighbor interactions. © 2002 Elsevier Science B.V. All rights reserved.
format JOUR
author Anicich, P.G.O.
Grinberg, H.
author_facet Anicich, P.G.O.
Grinberg, H.
author_sort Anicich, P.G.O.
title Grassmann coherent states for spin systems
title_short Grassmann coherent states for spin systems
title_full Grassmann coherent states for spin systems
title_fullStr Grassmann coherent states for spin systems
title_full_unstemmed Grassmann coherent states for spin systems
title_sort grassmann coherent states for spin systems
url http://hdl.handle.net/20.500.12110/paper_01661280_v621_n1-2_p9_Anicich
work_keys_str_mv AT anicichpgo grassmanncoherentstatesforspinsystems
AT grinbergh grassmanncoherentstatesforspinsystems
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