Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
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Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. / Nam, Phan Thanh ; Napiorkowski, Marcin; Solovej, Jan Philip.
In: Journal of Functional Analysis, Vol. 270, No. 11, 2016, p. 4340–4368.Research output: Contribution to journal › Journal article › Research › peer-review
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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