Partial Dynamical Symmetry

Amiram Leviatan; Y. Alhassid

Partial Dynamical Symmetry

Racah Institute of Physics

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

Abstract

A novel type oi Symmetry structure, which we call ‘partial dynamical symmetry’,
is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

Original language	American English
Title of host publication	Group theoretical methods in physics
Subtitle of host publication	Proceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992
Editors	M.A. del Olmo, M. Santander, J. Mateos Guilarte
Place of Publication	Madrid, Spain
Publisher	Ciemat
Pages	291-294
Number of pages	4
Volume	1
ISBN (Print)	8478341595, 9788478341597
State	Published - 1992

Publication series

Name	Anales de física. Monografías
Volume	1

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Leviatan, A., & Alhassid, Y. (1992). Partial Dynamical Symmetry. In M. A. del Olmo, M. Santander, & J. Mateos Guilarte (Eds.), Group theoretical methods in physics : Proceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992 (Vol. 1, pp. 291-294). (Anales de física. Monografías ; Vol. 1). Ciemat. https://iopscience.iop.org/article/10.1088/0305-4470/25/23/001/pdf

@inproceedings{0f37bd56fe65400aa7de658828e5c42e,

title = "Partial Dynamical Symmetry",

abstract = "A novel type oi Symmetry structure, which we call {\textquoteleft}partial dynamical symmetry{\textquoteright},is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.",

author = "Amiram Leviatan and Y. Alhassid",

year = "1992",

language = "American English",

isbn = "8478341595",

volume = "1",

series = "Anales de f{\'i}sica. Monograf{\'i}as ",

publisher = "Ciemat",

pages = "291--294",

editor = "{ del Olmo}, M.A. and Santander, {M. } and {Mateos Guilarte }, {J. }",

booktitle = "Group theoretical methods in physics",

}

Leviatan, A & Alhassid, Y 1992, Partial Dynamical Symmetry. in MA del Olmo, M Santander & J Mateos Guilarte (eds), Group theoretical methods in physics : Proceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992. vol. 1, Anales de física. Monografías , vol. 1, Ciemat, Madrid, Spain, pp. 291-294. <https://iopscience.iop.org/article/10.1088/0305-4470/25/23/001/pdf>

Partial Dynamical Symmetry. / Leviatan, Amiram; Alhassid, Y.
Group theoretical methods in physics : Proceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992. ed. / M.A. del Olmo; M. Santander; J. Mateos Guilarte . Vol. 1 Madrid, Spain: Ciemat, 1992. p. 291-294 (Anales de física. Monografías ; Vol. 1).

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

TY - GEN

T1 - Partial Dynamical Symmetry

AU - Leviatan, Amiram

AU - Alhassid, Y.

PY - 1992

Y1 - 1992

N2 - A novel type oi Symmetry structure, which we call ‘partial dynamical symmetry’,is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

AB - A novel type oi Symmetry structure, which we call ‘partial dynamical symmetry’,is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

M3 - Conference contribution

SN - 8478341595

SN - 9788478341597

VL - 1

T3 - Anales de física. Monografías

SP - 291

EP - 294

BT - Group theoretical methods in physics

A2 - del Olmo, M.A.

A2 - Santander, M.

A2 - Mateos Guilarte , J.

PB - Ciemat

CY - Madrid, Spain

ER -

Partial Dynamical Symmetry

Abstract

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