Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. / Nam, Phan Thanh ; Napiorkowski, Marcin; Solovej, Jan Philip.

I: Journal of Functional Analysis, Bind 270, Nr. 11, 2016, s. 4340–4368.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nam, PT, Napiorkowski, M & Solovej, JP 2016, 'Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations', Journal of Functional Analysis, bind 270, nr. 11, s. 4340–4368. https://doi.org/10.1016/j.jfa.2015.12.007

APA

Nam, P. T., Napiorkowski, M., & Solovej, J. P. (2016). Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis, 270(11), 4340–4368. https://doi.org/10.1016/j.jfa.2015.12.007

Vancouver

Nam PT, Napiorkowski M, Solovej JP. Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340–4368. https://doi.org/10.1016/j.jfa.2015.12.007

Author

Nam, Phan Thanh ; Napiorkowski, Marcin ; Solovej, Jan Philip. / Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. I: Journal of Functional Analysis. 2016 ; Bind 270, Nr. 11. s. 4340–4368.

Bibtex

@article{918a56cc1d1a456092fc3708a7dda6cc,
title = "Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations",
abstract = "We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute. ",
author = "Nam, {Phan Thanh} and Marcin Napiorkowski and Solovej, {Jan Philip}",
year = "2016",
doi = "10.1016/j.jfa.2015.12.007",
language = "English",
volume = "270",
pages = "4340–4368",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "11",

}

RIS

TY - JOUR

T1 - Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

AU - Nam, Phan Thanh

AU - Napiorkowski, Marcin

AU - Solovej, Jan Philip

PY - 2016

Y1 - 2016

N2 - We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.

AB - We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.

UR - https://arxiv.org/pdf/1508.07321v2.pdf

U2 - 10.1016/j.jfa.2015.12.007

DO - 10.1016/j.jfa.2015.12.007

M3 - Journal article

VL - 270

SP - 4340

EP - 4368

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 11

ER -

ID: 152928838