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中国物理学会期刊

关于动态位错场张量势的规范变换

CSTR: 32037.14.aps.30.968

ON THE GAUGE TRANSFORMATION OF THE TENSOR POTENTIALS FOR THE FIELD OF MOVING DISLOCATIONS

CSTR: 32037.14.aps.30.968
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  • 本文引入并论证了描述动态位错场的张量势(A与B)的规范交换问题,而且证明这种变换可采取这样的形式:B′=B+▽F, A′=A-ρ?/(?t)▽G,x′=x-ρ?/(?t)F,其中xi=eiklAkl。至于F与G,则为带有很大任意性的时空坐标的矢量函数,但它们要满足以下关系式:F=▽×G,▽2F-1/Gt2-(?2/?t2)F=0.进

     

    The problem on gauge transformation of the tensor potentials (A and B) associated with the dislocation field is treated. It is shown that the expressions of this transformation may take the form B′=B+▽F, A′=A-ρ?/(?t)▽G,x′=x-ρ?/(?t)F, where xi=eiklAkl. F and G are some arbitrary vector functions of position and time, but they must satisfy the relations F=▽×G,▽2F-1/Gt2-(?2/?t2)F=0. Furthermore, it is proved that the gauge conditions presented in 1 are compatible with the inhomogeneous wave equations for A and B

     

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