THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

WU HUI-FANG; Yu YOU-WEN; ZHANG ZONG-YIE

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(2) : 211-216

THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

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Abstract：
In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a₁ of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a₁.

References

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WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216.

WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216. shu

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Received: 1979-09-26
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

THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

Received Date: 1979-09-26
Accepted Date: 1900-01-01
Available Online: 1981-04-05

Abstract: In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a₁ of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a₁.