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ZERO POINT ENERGY References 1. Feynman, RP. and Hibbs, AR. Quantum
Mechanics and Path Integrals, page 245, McGraw-Hill, New York, 1965. See also Misner, CW,
Thorne, KS.
and Wheeler, J.A. Gravitation, page 1202 ff. Freeman, San Francisco, 1973.
2. See, for example, the Closing
Remarks section in Boyer, TH, Phys. Rev. D, volume 29, p. 1089, 1984. It can be added that, although the approach developed here involves treating the ZPF fields as real, an alternative viewpoint can betaken in which the results of field-particle interactions traditionally attributed to ZPF are expressed instead in terms of the radiation reaction of the particles involved, without explicit reference to the ZPF.
For this viewpoint, see Milonni, PW, Phys. Rev. A, volume 25, p. 1315, 1982. Although it is sometimes assumed that the radiation-reaction approach might imply that the ZPF fields do not exist, detailed analysis (see
Milonni's paper) shows that even though the interpretation of ZPF effects "can be given exclusively in terms of either radiation reaction or the zero-point field, both fields are in fact necessary for the formal consistency of the theory" The interrelationship between these two approaches (ZPF, radiation reaction) can be shown to be complementary on the basis of an underlying fluctuation-dissipation theorem.
3. Casimir, H.B.G., Proc. K. Ned. Akad. Wet, volume 51, p. 793, 1948.
4. Fierz, M. Helv. Phys. Acta., volume 33, p. 855, 1960.
5.
Marshall, T.W. Nuovo Cimento, volume 38, p. 206, 1965.
6. Boyer, TH. Ann. Phys, volume 56, p. 474, 1970.
7. Wittmann, F, Splittgerber,
Hand Ebert, K. Z. Phys, volume 245, p.
354, 1971.
8. Israelachvili, J.N. and Tabor, D. Proc. Roy Soc. London, Ser. A, volume 331, p. 19, 1972.
9. Arnold, W, Hunklinger,
Sand Dransfeld, K. Phys Rev. B, volume
19, p. 6049, 1979; Phys. Rev. E, volume 21, p. 1713, 1980.
10. Milonni, PW, Cook, R.J. and Goggin, ME. Phys. Rev. A, volume 38, p. 1621, 1988.
11. Lamb, WE, Jr. and Retherford, RC. Phys. Rev, volume 72, p. 241,
1947.
12. Bethe, HA. Phys. Rev, volume 72, p. 339, 1947.
13. Welton, TA. Phys. Rev, volume 74, p. 1157, 1948.
14. Boyer, TH. Phys. Rev, volume 180, p. 19, 1969; Phys. Rev. A, volume 7, p. 1832,
1973.