Standard
Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup. / Lieb, Elliott; Solovej, Jan Philip.
Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. red. / Pavel Exner; Rupert Frank; Fritz Gesztesy; Helge Holden; Timo Weidl. European Mathematical Society Publishing House, 2021. s. 301-314.
Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › fagfællebedømt
Harvard
Lieb, E
& Solovej, JP 2021,
Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup. i P Exner, R Frank, F Gesztesy, H Holden & T Weidl (red),
Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. European Mathematical Society Publishing House, s. 301-314.
https://doi.org/10.4171/ECR/18-1/18APA
Lieb, E.
, & Solovej, J. P. (2021).
Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup. I P. Exner, R. Frank, F. Gesztesy, H. Holden, & T. Weidl (red.),
Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume (s. 301-314). European Mathematical Society Publishing House.
https://doi.org/10.4171/ECR/18-1/18Vancouver
Lieb E
, Solovej JP.
Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup. I Exner P, Frank R, Gesztesy F, Holden H, Weidl T, red., Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. European Mathematical Society Publishing House. 2021. s. 301-314
https://doi.org/10.4171/ECR/18-1/18Author
Lieb, Elliott ; Solovej, Jan Philip. / Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup. Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. red. / Pavel Exner ; Rupert Frank ; Fritz Gesztesy ; Helge Holden ; Timo Weidl. European Mathematical Society Publishing House, 2021. s. 301-314
Bibtex
@inbook{2c892ed8331d4f7694c8e619eee19369,
title = "Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup",
abstract = "We discuss the Wehrl-type entropy inequality conjecture for the group SU(1,1) and for its subgroup AX+B (or affine group), their representations on L2(R+), and their coherent states. For AX+B the Wehrl-type conjecture for Lp-norms of these coherent states (also known as the Renyi entropies) is proved in the case that p is an even integer. We also show how the general AX+B case reduces to an unsolved problem about analytic functions on the upper half-plane and the unit disk.Keywords: Coherent states, affine group, AX+B group",
author = "Elliott Lieb and Solovej, {Jan Philip}",
year = "2021",
month = jun,
day = "15",
doi = "10.4171/ECR/18-1/18",
language = "English",
isbn = "978-3-98547-007-5",
pages = "301--314",
editor = "Pavel Exner and Rupert Frank and Fritz Gesztesy and Helge Holden and Timo Weidl",
booktitle = "Partial Differential Equations, Spectral Theory, and Mathematical Physics",
publisher = "European Mathematical Society Publishing House",
address = "Switzerland",
}
RIS
TY - CHAP
T1 - Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup
AU - Lieb, Elliott
AU - Solovej, Jan Philip
PY - 2021/6/15
Y1 - 2021/6/15
N2 - We discuss the Wehrl-type entropy inequality conjecture for the group SU(1,1) and for its subgroup AX+B (or affine group), their representations on L2(R+), and their coherent states. For AX+B the Wehrl-type conjecture for Lp-norms of these coherent states (also known as the Renyi entropies) is proved in the case that p is an even integer. We also show how the general AX+B case reduces to an unsolved problem about analytic functions on the upper half-plane and the unit disk.Keywords: Coherent states, affine group, AX+B group
AB - We discuss the Wehrl-type entropy inequality conjecture for the group SU(1,1) and for its subgroup AX+B (or affine group), their representations on L2(R+), and their coherent states. For AX+B the Wehrl-type conjecture for Lp-norms of these coherent states (also known as the Renyi entropies) is proved in the case that p is an even integer. We also show how the general AX+B case reduces to an unsolved problem about analytic functions on the upper half-plane and the unit disk.Keywords: Coherent states, affine group, AX+B group
U2 - 10.4171/ECR/18-1/18
DO - 10.4171/ECR/18-1/18
M3 - Book chapter
SN - 978-3-98547-007-5
SP - 301
EP - 314
BT - Partial Differential Equations, Spectral Theory, and Mathematical Physics
A2 - Exner, Pavel
A2 - Frank, Rupert
A2 - Gesztesy, Fritz
A2 - Holden, Helge
A2 - Weidl, Timo
PB - European Mathematical Society Publishing House
ER -
