Standard
On the minimization of Hamiltonians over pure Gaussian states. / Derezinski, Jan; Napiorkowski, Marcin; Solovej, Jan Philip.
Complex Quantum SystemsAnalysis of Large Coulomb Systems. ed. / Heinz Siedentop. Vol. 24 World Scientific, 2013. (National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, Vol. 24).
Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
Harvard
Derezinski, J, Napiorkowski, M
& Solovej, JP 2013,
On the minimization of Hamiltonians over pure Gaussian states. in H Siedentop (ed.),
Complex Quantum SystemsAnalysis of Large Coulomb Systems. vol. 24, World Scientific, National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, vol. 24. <
http://arxiv.org/abs/1102.2931>
APA
Derezinski, J., Napiorkowski, M.
, & Solovej, J. P. (2013).
On the minimization of Hamiltonians over pure Gaussian states. In H. Siedentop (Ed.),
Complex Quantum SystemsAnalysis of Large Coulomb Systems (Vol. 24). World Scientific. National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series Vol. 24
http://arxiv.org/abs/1102.2931Vancouver
Derezinski J, Napiorkowski M, Solovej JP. On the minimization of Hamiltonians over pure Gaussian states. In Siedentop H, editor, Complex Quantum SystemsAnalysis of Large Coulomb Systems. Vol. 24. World Scientific. 2013. (National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, Vol. 24).
Author
Derezinski, Jan ; Napiorkowski, Marcin ; Solovej, Jan Philip. / On the minimization of Hamiltonians over pure Gaussian states. Complex Quantum SystemsAnalysis of Large Coulomb Systems. editor / Heinz Siedentop. Vol. 24 World Scientific, 2013. (National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, Vol. 24).
Bibtex
@inbook{a64e6c9471ab4349902883ad596a83f2,
title = "On the minimization of Hamiltonians over pure Gaussian states",
abstract = "A Hamiltonian defined as a polynomial in creation and annihilation operators is considered. After a minimization of its expectation value over pure Gaussian states, the Hamiltonian is Wick-ordered in creation and annihillation operators adapted to the minimizing state. It is shown that this procedure eliminates from the Hamiltonian terms of degree 1 and 2 that do not preserve the particle number, and leaves only terms that can be interpreted as quasiparticles excitations. We propose to call this fact Beliaev's Theorem, since to our knowledge it was mentioned for the first time in a paper by Beliaev from 1959",
author = "Jan Derezinski and Marcin Napiorkowski and Solovej, {Jan Philip}",
year = "2013",
language = "English",
isbn = "978-981-4460-14-9",
volume = "24",
series = "National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series",
publisher = "World Scientific",
editor = "Heinz Siedentop",
booktitle = "Complex Quantum SystemsAnalysis of Large Coulomb Systems",
address = "United States",
}
RIS
TY - CHAP
T1 - On the minimization of Hamiltonians over pure Gaussian states
AU - Derezinski, Jan
AU - Napiorkowski, Marcin
AU - Solovej, Jan Philip
PY - 2013
Y1 - 2013
N2 - A Hamiltonian defined as a polynomial in creation and annihilation operators is considered. After a minimization of its expectation value over pure Gaussian states, the Hamiltonian is Wick-ordered in creation and annihillation operators adapted to the minimizing state. It is shown that this procedure eliminates from the Hamiltonian terms of degree 1 and 2 that do not preserve the particle number, and leaves only terms that can be interpreted as quasiparticles excitations. We propose to call this fact Beliaev's Theorem, since to our knowledge it was mentioned for the first time in a paper by Beliaev from 1959
AB - A Hamiltonian defined as a polynomial in creation and annihilation operators is considered. After a minimization of its expectation value over pure Gaussian states, the Hamiltonian is Wick-ordered in creation and annihillation operators adapted to the minimizing state. It is shown that this procedure eliminates from the Hamiltonian terms of degree 1 and 2 that do not preserve the particle number, and leaves only terms that can be interpreted as quasiparticles excitations. We propose to call this fact Beliaev's Theorem, since to our knowledge it was mentioned for the first time in a paper by Beliaev from 1959
M3 - Book chapter
SN - 978-981-4460-14-9
VL - 24
T3 - National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series
BT - Complex Quantum SystemsAnalysis of Large Coulomb Systems
A2 - Siedentop, Heinz
PB - World Scientific
ER -
