Intrinsic symmetries

Aleksandra Pędrak, Andrzej Góźdź, A. A. Gusev, S. I. Vinitsky

Abstract


In this paper a concept of symmetry in the parameter space of the parameter dependent Hamiltonians is considered. The three different ways of realization of this symmetry is introduced. The example of analysis of this kind of symmetries is made in case of spherical harmonic oscillator. Some consequences of this symmetry for the electric type transition amplitudes of the electromagnetic nuclear radiation is shown.


Full Text:

PDF

References


Biedenharn L C and Louck J D 1981 Angular Momentum in Quantum Physics (New York: Addison-Wesley) p. 528.

Eckart C 1935 Phys. Rev. 47 552-558

Guichardet A 1984 Annales de l’I.H.P. section A 40 no. 3 329-342

A. Góźdź, A. Dobrowolski, A. Pędrak, A. Szulerecka, A. Gusev, S. Vinitsky, Structure of Bohr type collective spaces – a few symmetry related problems, NUCLEAR THEORY vol. 32, (2013) 108-122, eds. A. Georgiewa, N. Minkov, Heron Press, Sofia, 2014.

Góźdź A, Pędrak A 2013 Hidden symmetries in the intrinsic frame, Physica Scripta T 154 014025

A. Góźdź, A. Dobrowolski, A. Pędrak, A. Szulerecka, A. Gusev, S. Vinitsky, Structure of Bohr type collective spaces – a few symmetry related problems, NUCLEAR THEORY vol. 32, (2013), ,eds. A. Georgiewa, N. Minkov, Heron Press, Sofia, 2014.

Góźdź A, Szulerecka A, Dobrowolski A, Dudek J 2011 Int. J. Mod. Phys E 20 199-206.

Heyde K, The Nuclear Shell Model, Springer-Verlag Berlin Heidelberg 1990

Bohr A, Mottelson B R, Nuclear Structure, Vol. 1 Single-Particle Motion, World Scientific, Singapure 1998




DOI: http://dx.doi.org/10.17951/aaa.2015.70.69
Date of publication: 2016-04-29 12:28:30
Date of submission: 2016-01-29 15:37:07


Statistics


Total abstract view - 1323
Downloads (from 2020-06-17) - PDF - 298

Indicators



Refbacks

  • There are currently no refbacks.


Copyright (c) 2016 Aleksandra Pędrak, Andrzej Góźdź, A. A. Gusev, S. I. Vinitsky

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.