ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Chinese Physics C> 1980, Vol. 4> Issue(4) : 478-492

ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

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Abstract：
With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U₅R₅SU₂×SU₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U₅R₅R₃are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number P is derived and a table of the P andI values for P≤30 is given.

References

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Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492.

Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492. shu

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Received: 1978-07-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

Received Date: 1978-07-24
Accepted Date: 1900-01-01
Available Online: 1980-08-05

Abstract: With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U₅R₅SU₂×SU₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U₅R₅R₃are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number P is derived and a table of the P andI values for P≤30 is given.