Dynamical symmetries and beyond: Lessons and advances

A. Leviatan

doi:10.1063/1.5124585

Dynamical symmetries and beyond: Lessons and advances

A. Leviatan^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A central theme in Iachello's quest for understanding simple ordered patterns in complex quantum systems, is the concept of dynamical symmetry. Relying on his seminal contributions, we present further generalization of this notion to that of partial dynamical symmetry (PDS), for which solvability and good quantum numbers are maintained by only a subset of states. Hamiltonians with a single PDS and multiple PDSs are constructed explicitly and their relevance to nuclear structure is discussed.

Original language	English
Title of host publication	Symmetries and Order
Subtitle of host publication	Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello
Editors	Reina Maruyama
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735418950
DOIs	https://doi.org/10.1063/1.5124585
State	Published - 3 Sep 2019
Event	Symmetries and Order: Algebraic Methods in Many-Body Systems - New Haven, United States Duration: 5 Oct 2018 → 6 Oct 2018

Publication series

Name	AIP Conference Proceedings
Volume	2150
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symmetries and Order: Algebraic Methods in Many-Body Systems
Country/Territory	United States
City	New Haven
Period	5/10/18 → 6/10/18

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

Access to Document

10.1063/1.5124585

Cite this

@inproceedings{c2edfa3b7df44d0caa6969b0ab8bea90,

title = "Dynamical symmetries and beyond: Lessons and advances",

abstract = "A central theme in Iachello's quest for understanding simple ordered patterns in complex quantum systems, is the concept of dynamical symmetry. Relying on his seminal contributions, we present further generalization of this notion to that of partial dynamical symmetry (PDS), for which solvability and good quantum numbers are maintained by only a subset of states. Hamiltonians with a single PDS and multiple PDSs are constructed explicitly and their relevance to nuclear structure is discussed.",

author = "A. Leviatan",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; Symmetries and Order: Algebraic Methods in Many-Body Systems ; Conference date: 05-10-2018 Through 06-10-2018",

year = "2019",

month = sep,

day = "3",

doi = "10.1063/1.5124585",

language = "אנגלית",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Reina Maruyama",

booktitle = "Symmetries and Order",

}

Leviatan, A 2019, Dynamical symmetries and beyond: Lessons and advances. in R Maruyama (ed.), Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello., 020013, AIP Conference Proceedings, vol. 2150, American Institute of Physics Inc., Symmetries and Order: Algebraic Methods in Many-Body Systems, New Haven, United States, 5/10/18. https://doi.org/10.1063/1.5124585

Dynamical symmetries and beyond: Lessons and advances. / Leviatan, A.
Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello. ed. / Reina Maruyama. American Institute of Physics Inc., 2019. 020013 (AIP Conference Proceedings; Vol. 2150).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Dynamical symmetries and beyond

T2 - Symmetries and Order: Algebraic Methods in Many-Body Systems

AU - Leviatan, A.

PY - 2019/9/3

Y1 - 2019/9/3

N2 - A central theme in Iachello's quest for understanding simple ordered patterns in complex quantum systems, is the concept of dynamical symmetry. Relying on his seminal contributions, we present further generalization of this notion to that of partial dynamical symmetry (PDS), for which solvability and good quantum numbers are maintained by only a subset of states. Hamiltonians with a single PDS and multiple PDSs are constructed explicitly and their relevance to nuclear structure is discussed.

AB - A central theme in Iachello's quest for understanding simple ordered patterns in complex quantum systems, is the concept of dynamical symmetry. Relying on his seminal contributions, we present further generalization of this notion to that of partial dynamical symmetry (PDS), for which solvability and good quantum numbers are maintained by only a subset of states. Hamiltonians with a single PDS and multiple PDSs are constructed explicitly and their relevance to nuclear structure is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85072385385&partnerID=8YFLogxK

U2 - 10.1063/1.5124585

DO - 10.1063/1.5124585

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:85072385385

T3 - AIP Conference Proceedings

BT - Symmetries and Order

A2 - Maruyama, Reina

PB - American Institute of Physics Inc.

Y2 - 5 October 2018 through 6 October 2018

ER -

Dynamical symmetries and beyond: Lessons and advances

Abstract

Publication series

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this