Temat: ox - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Commutators of Jastrow Factors and Angular Momentum Operators
Autorzy:: Kuśmierz, B.
Wójs, A.
Powiązania:: https://bibliotekanauki.pl/articles/1033882.pdf
Data publikacji:: 2017-08
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 73.43.-f
71.10.Pm
02.10.Ox
Opis:: We present detailed calculations of commutators of the Jastrow factor and certain differential operators useful in the fractional quantum Hall effect. In particular, we analyze action of the angular momentum operators projected from the Haldane sphere on an arbitrary composite fermions state. Examined L⁺ and L¯ momentum operators and following uniformity condition had proven to be useful in the search for candidates for quantum Hall ground states among many families of polynomials including the Jack polynomials.
Źródło:: Acta Physica Polonica A; 2017, 132, 2; 405-407
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Quantum Hall State ν = 1/3 and Antilexicographic Order of Partitions
Autorzy:: Kuśmierz, B.
Wójs, A.
Powiązania:: https://bibliotekanauki.pl/articles/1185382.pdf
Data publikacji:: 2016-11
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 73.43.-f
71.10.Pm
02.10.Ox
Opis:: We focus on a certain aspect of trial wave function approach in the fractional quantum Hall effect. We analyze the role of partition orderings and discuss the possible numerical search for the partition determining the subspace of the Hilbert space containing a particular quantum Hall wave function. This research is inspired by analogical properties of certain polynomials which are the object of interest of the symmetric function theory, especially the Jack polynomials (related to the so-called "Jack states"). Presented method may be used in the search of candidate trial wave functions. We also justify (in certain cases) diagonalization of the Coulomb repulsion Hamiltonian restricted to certain subspaces. We focus on the states at filling factor ν=1/3 in the lowest and second Landau level.
Źródło:: Acta Physica Polonica A; 2016, 130, 5; 1183-1186
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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