Intrinsic symmetries

• Authors: Aleksandra Pędrak , Andrzej Góźdź , A. A. Gusev , S. I. Vinitsky
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

• Publisher: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Journal: Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
• Year: 2015
• Volume: 70

Dates

published

2015

online

29 - 04 - 2016

Contributors

author

Aleksandra Pędrak

author

Andrzej Góźdź

author

A. A. Gusev

author

S. I. Vinitsky

References

• 1. Biedenharn L C and Louck J D 1981 Angular Momentum in Quantum Physics (New York: Addison-Wesley) p. 528.
• 2. Eckart C 1935 Phys. Rev. 47 552-558
• 3. Guichardet A 1984 Annales de l’I.H.P. section A 40 no. 3 329-342
• 4. 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.
• 5. Góźdź A, Pędrak A 2013 Hidden symmetries in the intrinsic frame, Physica Scripta T 154 014025
• 6. 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.
• 7. Góźdź A, Szulerecka A, Dobrowolski A, Dudek J 2011 Int. J. Mod. Phys E 20 199-206.
• 8. Heyde K, The Nuclear Shell Model, Springer-Verlag Berlin Heidelberg 1990
• 9. Bohr A, Mottelson B R, Nuclear Structure, Vol. 1 Single-Particle Motion, World Scientific, Singapure 1998

Identifiers

DOI

10.17951/aaa.2015.70.69