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Hypervirial Theorems and the Hellmann—Feynman Theorem in Different Coordinate Systems
1.C. A. Coulson and A. C. Hurley, J. Chem. Phys. 37, 448 (1962).
2.P. Phillipson, J. Chem. Phys. 39, 3010 (1963).
3.A. C. Hurley, in Molecular Orbitals in Chemistry, Physics and Biology, edited by P.‐O. Löwdin and B. Pullman (Academic Press Inc., New York, 1964).
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6.Since this assumption implies that and have the same range of values, it would appear that the subsequent analysis will have restricted applicability. Happily, this is not the case. Namely, our analysis also applies to any coordinates which are λ‐independent functions of the since this will mean that the Hellmann‐Feynman theorem takes the same form in the and coordinate systems.
7.M. Born, W. Heisenberg, and P. Jordan, Z. Physik 35, 557 (1926).
8.P. Jordan, Z. Physik 37, 383 (1926);
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9.See also (a) S. T. Epstein and J. O. Hirschfelder, Phys. Rev. 123, 1495 (1964);
9.and (b) M. Eger and E. P. Gross, Ann. Phys. (N.Y.) 24, 63 (1963).
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