Temat: Fock space - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Matrices related to some Fock space operators
Autorzy:: Rudol, K.
Powiązania:: https://bibliotekanauki.pl/articles/254939.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: frames
operators
Fock space
reproducing kernel
Opis:: Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space. We consider in particular some properties of matrices related to Toeplitz and Hankel operators. The underlying frame is provided by normalised reproducing kernel functions at some lattice points.
Źródło:: Opuscula Mathematica; 2011, 31, 2; 289-296
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the eigenvalues of a 2 x 2 block operator matrix
Autorzy:: Muminov, M. I.
Rasulov, T. H.
Powiązania:: https://bibliotekanauki.pl/articles/254735.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: block operator matrix
Fock space
discrete and essential spectra
Birman-Schwinger principle
Efimov effect
discrete spectrum asymptotics
embedded eigenvalues
Opis:: A 2 x 2 block operator matrix H acting in the direct sum of one- and two-particle subspaces of a Fock space is considered. The existence of infinitely many negative eigenvalues of H22 (the second diagonal entry of H) is proved for the case where both of the associated Friedrichs models have a zero energy resonance. For the number N(z) of eigenvalues of H22 lying below z < 0, the following asymptotics is found [formula]. Under some natural conditions the infiniteness of the number of eigenvalues located respectively inside, in the gap, and below the bottom of the essential spectrum of H is proved.
Źródło:: Opuscula Mathematica; 2015, 35, 3; 371-395
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Multifractality in Fock Space of the Ground State of the Bose-Hubbard Hamiltonian
Autorzy:: Lindinger, J.
Rodríguez, A.
Powiązania:: https://bibliotekanauki.pl/articles/1030013.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: multifractality
localisation in Fock space
quantum phase transitions
Opis:: We present a first study of the multifractal properties of the ground state of the Bose-Hubbard Hamiltonian in Fock space. Numerical simulations of system sizes up to L=10 at unit filling suggest that multifractality is present for all values of the bosonic interaction strength. Moreover, the analysis of the generalised fractal dimensions for different densities exposes qualitatively the superfluid to Mott insulator phase transition.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1683-1687
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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