RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ)

RUAN TU-NAN; ZHU XI-QUAN; HE ZUO-XIU; QING CHENG-RUI; ZHAO WEI-QIN

Chinese Physics C> 1981, Vol. 5> Issue(4) : 393-404

RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ)

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Abstract：
For a given Bethe-Salpeter equation an unique definite rearrangement of its irreducible kernel is obtained. Using this new kernel the equal-time wave function and equal-tune seattering amplitude satisfy closed equations respectively. Including no unphysical degree of freedom the equations are the relativistic generalization of Schrodinger equation and Lippmann-Schwinger equation. The equal-time potential of one photon exchange is given. All the conclusions are generalized to particleantiparticle system directly.

References

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E. E. Balpeter, H. A. Bethe, Phys. Rev., 54(1951), 1232.[2] N. Nakaniehi, Progr. Theor. Phys. Suppl., 43(1969), 1.[3] P. A. M. Dirac, The Principles of Quantum Mechanics, p. 289.[4] 阮图南、何柞麻、黄涛,高能物理与核物理,3(1979), 272.[5] A. A. Lcagunov, A. N. Tavkhelidze, Nuovo Cim., 29(1963), 380.[6] R. Blankenbecler, R. Sugar, Phys. Rev., 142(1966), 1051.[7] I. T. Todorov, Phys. Rev., D3(1971), 2351.[8] F. Gross, Phys. Rev., 186(1969), 1448.[9] V. G. gadyshevsky, Nucl. Phys., B6(1968), 125;Nuovo. Cim., 55(1968), A233.[10] W. Krblikowshi, J. Rzewuski, Nuovo, Cim., 2(1955), 203.[11] A. V. Rizov, I. T. Todorov. Sovi. Jour. Part Nucl., 6(1975), 269.[12] 阮图南、朱熙泉、何柞麻,高能物理与核物理,4(1980), 186.[13] S. Schweber, Anna. Phys.,20(1962), 66.[14] J. D. Bjozken, S. D. Drell, Relativistic Quantum Fields, Mc(iraw-Hill, Inc.

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RUAN TU-NAN, ZHU XI-QUAN, HE ZUO-XIU, QING CHENG-RUI and ZHAO WEI-QIN. RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ)[J]. Chinese Physics C, 1981, 5(4): 393-404.

RUAN TU-NAN, ZHU XI-QUAN, HE ZUO-XIU, QING CHENG-RUI and ZHAO WEI-QIN. RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ)[J]. Chinese Physics C, 1981, 5(4): 393-404. shu

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Received: 1980-03-05
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

RELATIVISTIC EQUAL-TIME EQUATION (Ⅰ)

Received Date: 1980-03-05
Accepted Date: 1900-01-01
Available Online: 1981-08-05

Abstract: For a given Bethe-Salpeter equation an unique definite rearrangement of its irreducible kernel is obtained. Using this new kernel the equal-time wave function and equal-tune seattering amplitude satisfy closed equations respectively. Including no unphysical degree of freedom the equations are the relativistic generalization of Schrodinger equation and Lippmann-Schwinger equation. The equal-time potential of one photon exchange is given. All the conclusions are generalized to particleantiparticle system directly.