LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(5) : 620-628

LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying ^,

Institute of Industry of Beijing

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Abstract：
In terms of the modified Sturm-Liouville theorem, the properties of the solutions to the Klein-Gordon equations with the potential tails is discussed and the corresponding Levinson's theorem is proved in this paper.

References

[1]

N. Levinson, K. Dan. Vidensk. Selsk. Mat-fys., Medd., No. 9(1949), 25.[2] R. G. Newton, Scatrering Theory of Waves and Porricles, 2nd ed. (Springer, New York, 1982) and the references therein.[3] XI.-C. Barthélémy, Ann. Inst. Henri Poincaré, A7(1967), 115; G. J. Ni, 高能物理与核物理, 3, (1979)449; Z. Q. Ma and G. J: Ni, Phys. Rev., D31(1985), 1482.[4] C. N. Yang, in Monopoles in Quantum Field Theory Proceedings of the Monopole Meeting, Trieste, Italy,1981, ed. by N. S. Craigie, P. Goddard and W. Nahm (World Scientific, Singapore, 1982), p. 237; Y.Kazama and C. N. Yang, phys; Rev., 15D(1977), 2300.[5] R. win ski, L. Rosenberg and L. Spruch, Phys. Rev., A31(1985), 1229; Phys. Rev. Lett., 54(1985), 1602;Phys. Rev., A33(1986), 946.[6] Z. Q. Ma, J. Math. Phys., 26(1985), 1995; Phys. Rev., D32(1985), 2203, 2213; D33(1986), 1745.[7] y. G. Liang and Z. Q. Ma, Phys. Rev., D34(1986), 565.[8] H. Snyder and J. Weinberg, Phys. Rev., 15(1940), 307; L. I. Schiff, H. Snyder and J. Weinberg., Phys.Rev., 15(1940), 315.

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DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS[J]. Chinese Physics C, 1987, 11(5): 620-628.

DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS[J]. Chinese Physics C, 1987, 11(5): 620-628. shu

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Received: 1900-01-01
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

LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS

DAI An-Ying ^,

Corresponding author: DAI An-Ying,

Institute of Industry of Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-10-05

Abstract: In terms of the modified Sturm-Liouville theorem, the properties of the solutions to the Klein-Gordon equations with the potential tails is discussed and the corresponding Levinson's theorem is proved in this paper.