e-mail: [e-mail]

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??N???
Wigner ?????
J.O.Hirschfelder and E.Wigner, Nat. Acad. Sci.
21(1935) 113-119.
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??N???
Wigner ?????
J.O.Hirschfelder and E.Wigner, Nat. Acad. Sci.
21(1935) 113-119.
???????Their results were not directly
usable for the problems under consideration.
C. F. Curtiss, J. O. Hirschfelder, and F. T.
Adler, J. Chem. Phys. 18 (1950) 1638,
?????(37), ?? However, Eq. (37) are quite
cumbersome.
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N???? (N-1) ?Jacobi??
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1. ?,????????????
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N???? (N-1) ?Jacobi??
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???????K, ? R1 ? Z ?,
R2 ?XZ ???? X ??.
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note6
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???????D????,??? SO(D)???????????????
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?????????????????? ??????????(???2003)
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??N???????????????
1. Xiao-Yan Gu, Bin Duan and Zhong-Qi
Ma, Conservation of angular momentum and
separation of global rotation in a quantum
N-body system, Phys. Lett. A 281 (2001) 168-175.
2. Xiao-Yan Gu, Bin Duan and Zhong-Qi
Ma, Independent Eigenstates of angular momentum
in a quantum N-bodysystem, Phys. Rev. A 64
(2001) 042108(1-14).
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Phys. Lett. A ????A?
The method seems promising with respect to other
procedures the internal variables have no point
of singularity and are simple to use. The
equations for the internal radial amplitudes can
be written and do not appear too much
complicated.
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,???????
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Phys. Lett. A ????B?
The approach developed in this manuscript is
very original and the set of internal
coordinates proposed by the authors is very
different from the sets of coordinates used
previously.
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??Z. C. Yan, J. Y. Zhang, Y. Li, Energies and
polarizabilities of the hydrogen molecular ions,
Phys. Rev. A 67 (2003) 062504.
A general discussion of angular degrees of
freedom for a quantum N-body system has been
given recently by Gu, Duan and Ma 19.
??N??????????????? ?,???19???
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??A. V. Meremianin, J. S. Briggs, The irreducible
tensor approach in the separation of collective
angles in the quantum N-body problem, Phys.
Reports 384 (2003) 121-195.
???????(Phys. Rev. A 2001)???tensor products of
solid harmonics can be used as a basis for the
elimination of collective angles in the general
N-body system,???a different choice of
internal coordinates.
???????(Phys. Rev. A 2001)?????? ???N????????????
??????? ??????? , ???????????
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??????????????????? ???World Scientific
2004?????? Zhong-Qi Ma and Xizo-Yan GuProblems
and Solutions in Group Theory for Physicists,
???????????????(2005.5.30)
Your above book is doing well and we have
received favourable response from the scientific
community worldwide.
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1949?Levinson??Schroedinger???
????????????????
Levinson???????????? ?Jost??????????,?????
??????, Sturm-Liouville???
Dirac ??, Klein-Gordon????
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Schroedinger???Levinson??
S?????????????
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????????
Professor C. N. Yang pointed out In a
talk on monopole
For the Sturm-Liouville problem, the fundamental
trick is the definition of a phase angle which is
monotonic with respect to the energy.
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Sturm-Liouville??
?F(x)??,y????????????
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Newton?????
?Jost?????????Levinson??,?
Levinson???????
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Newton?????
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??2
35
Newton?????
?Sturm-Liouville ??,?????
??Levinson??,?
??1
??2
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Dirac???Levinson??
????
Sturm-Liouville??
37
????? r0 ??????
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38
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Dirac???Levinson??
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N. Poliatzky, Phys. Rev. Lett.
70 (1993) 2507-2510.
P.2508 The first correst statement of
Levinson's theorem for Dirac particles was given
by Ma and Ni 10
Dirac ???Levinson ??????? ???? Ma and Ni 10???

???2004?????A. Calogeracos and N. Dombey,
Phys. Rev. Lett. 93 (2004) 180405.
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1.????????Dirac??Levinson ????????
2. ??Sturm-liouville????? ??Levinson??,????,??
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3. ??1985????,??2004?? ??????
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Thank you !