Partial dynamical symmetries in quantum systems

A. Leviatan

doi:10.1088/1742-6596/380/1/012002

Partial dynamical symmetries in quantum systems

A. Leviatan

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Conference article › peer-review

Abstract

We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are strongly mixed. We present an explicit construction of Hamiltonians with this property, including higher-order terms, and portray their significance for spectroscopy and shape-phase transitions in nuclei. The occurrence of both a single PDS, relevant to stable structures, and of several PDSs, relevant to coexistence phenomena, are considered.

Original language	English
Article number	012002
Journal	Journal of Physics: Conference Series
Volume	380
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/380/1/012002
State	Published - 2012
Event	International Symposium 'Symmetries in Science XV' - Bregenz, Austria Duration: 31 Jul 2011 → 5 Aug 2011

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1088/1742-6596/380/1/012002

Cite this

@article{9501596bd92146f6b2b74455df05e6e5,

title = "Partial dynamical symmetries in quantum systems",

abstract = "We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are strongly mixed. We present an explicit construction of Hamiltonians with this property, including higher-order terms, and portray their significance for spectroscopy and shape-phase transitions in nuclei. The occurrence of both a single PDS, relevant to stable structures, and of several PDSs, relevant to coexistence phenomena, are considered.",

author = "A. Leviatan",

year = "2012",

doi = "10.1088/1742-6596/380/1/012002",

language = "الإنجليزيّة",

volume = "380",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "International Symposium 'Symmetries in Science XV' ; Conference date: 31-07-2011 Through 05-08-2011",

}

TY - JOUR

T1 - Partial dynamical symmetries in quantum systems

AU - Leviatan, A.

PY - 2012

Y1 - 2012

N2 - We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are strongly mixed. We present an explicit construction of Hamiltonians with this property, including higher-order terms, and portray their significance for spectroscopy and shape-phase transitions in nuclei. The occurrence of both a single PDS, relevant to stable structures, and of several PDSs, relevant to coexistence phenomena, are considered.

AB - We discuss the the notion of a partial dynamical symmetry (PDS), for which a prescribed symmetry is obeyed by only a subset of solvable eigenstates, while other eigenstates are strongly mixed. We present an explicit construction of Hamiltonians with this property, including higher-order terms, and portray their significance for spectroscopy and shape-phase transitions in nuclei. The occurrence of both a single PDS, relevant to stable structures, and of several PDSs, relevant to coexistence phenomena, are considered.

UR - http://www.scopus.com/inward/record.url?scp=84867930850&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/380/1/012002

DO - 10.1088/1742-6596/380/1/012002

M3 - مقالة من مؤنمر

SN - 1742-6588

VL - 380

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012002

T2 - International Symposium 'Symmetries in Science XV'

Y2 - 31 July 2011 through 5 August 2011

ER -

Partial dynamical symmetries in quantum systems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this