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Časopis

Autori: Sunko, Denis
Naslov: Fundamental invariants of many-body Hilbert space
Izvornik: Modern physics letters B (0217-9849) 30 (2016), 16; 1630009-1-1630009-15
Vrsta rada: pregledni rad
Ključne riječi: Many-body wave functions ; fermion sign problem ; invariant theory.
Sažetak:
Many-body Hilbert space is a functional vector space with the natural structure of an algebra, in which vector multiplication is ordinary multiplication of wave functions. This algebra is finite-dimensional, with exactly N!^(d−1) generators for N identical particles, bosons or fermions, in d dimensions. The generators are called shapes. Each shape is a possible many-body vacuum. Shapes are natural generalizations of the ground-state Slater determinant to more than one dimension. Physical states, including the ground state, are superpositions of shapes with symmetric-function coefficients, for both bosons and fermions. These symmetric functions may be interpreted as bosonic excitations of the shapes. The algebraic structure of Hilbert space described here provides qualitative insights into long-standing issues of many-body physics, including the fermion sign problem and the microscopic origin of bands in the spectra of finite systems.
Projekt / tema: 119-1191458-0512, 202759
Izvorni jezik: ENG
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bazama podataka:
SCI-EXP, SSCI i/ili A&HCI
Current Contents Connect (CCC)
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Scopus
Kategorija: Znanstveni
Znanstvena područja:
Fizika
URL Internet adrese: http://dx.doi.org/10.1142/S021798491630009X
http://www.worldscientific.com/doi/abs/10.1142/S021798491630009X
Broj citata:
Altmetric:
DOI: 10.1142/S021798491630009X
URL cjelovitog teksta: http://www.worldscientific.com/doi/pdf/10.1142/S021798491630009X
Google Scholar: Fundamental invariants of many-body Hilbert space
Upisao u CROSBI: Denis Sunko (dks@phy.hr), 18. Svi. 2017. u 14:55 sati



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