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假设→0时一个正确的非相对论量子力学与牛顿力学等价.以此为出发点,对目前公认的非相对论量子力学作了细微的修改.改动后的非相对论量子力学被证明在≠0时与修改前的完全等价,在→0时,与牛顿力学等价.这样做的意义在于,如果进一步假设→0时一个正确的相对论量子力学和爱因斯坦的相对论等价,那么就有可能得到与现有相对论量子力学预言不同的结论,这将有助于它的检验或完善.

It’s assumed that when →0, correct non-relative quantum mechanicsshould be equivalent to Newtonian mechanics. Starting from this point, we slightly revised the widely accepted non-relative quantum mechanics such that the mechanics after modification is strictly equivalent to that before the modification when ≠0, and equivalent to Newtonian mechanics in the limit →0. The significance lies in the possibility that if we further postulate that corrected relative quantum mechanics is equivalent to Einstein’s theory of relativity in the case →0, then we may obtain different predictions from what produced by the former that will help to verify or improve it.

参考文献

[1] Ballentine L E. Quantum Mechanics[M]. Prentice-Hall, Englewood Cliffs, N J, 1990, 296.
[2] Holland P R. The Quantum Theory of Motion[M]. Cambridge University Press, 1993, 218-276.
[3] Jammer M. The Philosophy of Quantum Mechanics[M]. John Wiley Inc, 1974, 5.
[4] Capri A Z. Nonrelativistic Quantum Mechanics[M]. The Benjamin/Cumming Publishing Company, Inc, 1985, 219-232.
[5] Ehrenfest P. Ehrenfestsche Theorem[J]. Z Physik, 1927, 45: 455-457.
[6] Eugen Merzbacher B. Quantum Mechanics[M]. John Wiley Inc, 1970, 168.
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