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0002779092
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SPHJAR
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Casimir effects involving dielectrics were first studied by E.M. Lifshitz, Zh. Éksp. Teor. Fiz. 29, 94 (1955) [Sov. Phys. JETP 2, 73 (1956)], and might well be referred to as Casimir-Lifshitz, effects. SPHJAR
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Sov. Phys. JETP
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, pp. 73
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Lifshitz, E.M.1
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3
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0001748257
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PYLAAG
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The generalized argument theorem, first introduced in this area by N.G. van Kampen, B.R.A. Nijboer, and K. Schramm, Phys. Lett. 26A, 307 (1968), greatly simplifies the discussion. See also Ref. 2 for a nice review of the material.PYLAAG
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(1968)
Phys. Lett.
, vol.26A
, pp. 307
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van Kampen, N.G.1
Nijboer, B.R.A.2
Schramm, K.3
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4
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0004154202
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Academic, New York
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P.W. Milonni, The Quantum Vacuum (Academic, New York, 1993). See especially Chaps. 7 and 8.
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(1993)
The Quantum Vacuum
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Milonni, P.W.1
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8
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11744269632
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ZEPYAA
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O. Emersleben, Z. Phys. 127, 588 (1950).ZEPYAA
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Z. Phys.
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, pp. 588
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Emersleben, O.1
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12
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0039266262
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PHYSAG
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M.J. Sparnaay, Physica 24, 751 (1958); PHYSAG
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(1958)
Physica
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, pp. 751
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Sparnaay, M.J.1
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18
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0040130720
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B.R. Levy and J.B. Keller, Can. J. Phys. 38, 128 (1960); CJPHADW. Franz, Theorie der Beugung Elektromagnetischer Wellen (Springer, Berlin 1957);
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Can. J. Phys.
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, pp. 128
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Levy, B.R.1
Keller, J.B.2
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19
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85037190048
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Z. Naturforsch. A 9, 705 (1954);
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(1954)
Z. Naturforsch. A
, vol.9
, pp. 705
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23
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0011217067
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PLRAAN See also L. Spruch, in Long-Range Casimir Forces: Theory and Experiment in Multiparticle Dynamics, edited by F.S. Levin and D.A. Micha (Plenum, New York, 1993), Chap. 1
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L. Spruch, J.F. Babb, and F. Zhou, Phys. Rev. A 49, 2476 (1994). PLRAANSee also L. Spruch, in Long-Range Casimir Forces: Theory and Experiment in Multiparticle Dynamics, edited by F.S. Levin and D.A. Micha (Plenum, New York, 1993), Chap. 1.
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(1994)
Phys. Rev. A
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, pp. 2476
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Spruch, L.1
Babb, J.F.2
Zhou, F.3
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24
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0004254722
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Springer, New York
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See, for example, L.E. Reichl, The Transition to Chaos (Springer, New York, 1992), Chap. 8 and references therein.
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(1992)
The Transition to Chaos
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Reichl, L.E.1
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25
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85037225266
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The semiclassical approximation to a Green function is accurate at least to order (Formula presented). For a photon in free space the semiclassical approximation to (Formula presented) and to (Formula presented) happens to be exact, but it is accurate only to first order in (Formula presented) for (Formula presented). The saddle-point approximation to the Laplace transform of (Formula presented) is exact only for (Formula presented), since it is proportional to a (Formula presented) function, i.e., a Gaussian of arbitrarily small width
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The semiclassical approximation to a Green function is accurate at least to order (Formula presented). For a photon in free space the semiclassical approximation to (Formula presented) and to (Formula presented) happens to be exact, but it is accurate only to first order in (Formula presented) for (Formula presented). The saddle-point approximation to the Laplace transform of (Formula presented) is exact only for (Formula presented), since it is proportional to a (Formula presented) function, i.e., a Gaussian of arbitrarily small width.
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26
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85037183705
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Note that, not surprisingly, Eq. (2.18) has a one-dimensional form. On setting (Formula presented) the perpendicular components in Eq. (2.16) drop out but, because of reflections (or images), the (Formula presented) components do not. Integration over (Formula presented) is therefore trivial
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Note that, not surprisingly, Eq. (2.18) has a one-dimensional form. On setting (Formula presented) the perpendicular components in Eq. (2.16) drop out but, because of reflections (or images), the (Formula presented) components do not. Integration over (Formula presented) is therefore trivial.
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31
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0343205678
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SPHDA9 see also V.M. Mostepanenko and N.N. Trunov, The Casimir Effect and its Applications (Oxford University Press, Oxford, 1997), Sec. 3.7, where bounds on the coefficient of the leading term are provided
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V.M. Mostepanenko and I.Y. Sokolov, Dokl. Akad. Nauk SSSR 298, 1380 (1988) [Sov. Phys. Dokl. 33, 140 (1988)]; SPHDA9see also V.M. Mostepanenko and N.N. Trunov, The Casimir Effect and its Applications (Oxford University Press, Oxford, 1997), Sec. 3.7, where bounds on the coefficient of the leading term are provided.
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(1988)
Sov. Phys. Dokl.
, vol.33
, pp. 140
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Mostepanenko, V.M.1
Sokolov, I.Y.2
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0004111755
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PLRAAN See also P.W. Milonni and M.-L. Shih, Contemporary Physics, edited by J.S. Dougdale (Taylor and Francis, London, 1993)
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L. Spruch and Y. Tikochinsky, Phys. Rev. A 48, 4213 (1993) use a slightly differet approach. PLRAANSee also P.W. Milonni and M.-L. Shih, Contemporary Physics, edited by J.S. Dougdale (Taylor and Francis, London, 1993).
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(1993)
Phys. Rev. A
, vol.48
, pp. 4213
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Spruch, L.1
Tikochinsky, Y.2
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APNYA6
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We also note that a number of results for the leading term of the forces between pairs of systems of various geometries have been obtained by J. Blocki, J. Randrup, W.J. Swiatecki, and C.F. Tang, Ann. Phys. (N.Y.) 105, 427 (1977). The approach used was somewhat similar to that used by Derjaguin 8.APNYA6
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(1977)
Ann. Phys. (N.Y.)
, vol.105
, pp. 427
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Blocki, J.1
Randrup, J.2
Swiatecki, W.J.3
Tang, C.F.4
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