Dynamical symmetries and beyond: Lessons and advances

A. Leviatan

doi:https://doi.org/10.1063/1.5124585

Dynamical symmetries and beyond: Lessons and advances

A. Leviatan

Racah Institute of Physics

The Hebrew University of Jerusalem

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
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

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

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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https://doi.org/10.1063/1.5124585

Cite this

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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.",

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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, 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. 2019. 020013 (AIP Conference Proceedings; Vol. 2150).

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

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Dynamical symmetries and beyond: Lessons and advances

Abstract

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All Science Journal Classification (ASJC) codes

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