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  • 1
    Electronic Resource
    Electronic Resource
    A new scaling property of the Casimir energy for a piecewise uniform string (1999)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 40 (1999), S. 1127-1135 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An unexpected and very accurate scaling invariance of the Casimir energy of the piecewise uniform relativistic string is pointed out. The string consists of 2N pieces of equal length, of alternating type I/type II material, endowed with different tensions and mass densities but adjusted such that the velocity of transverse sound equals c. If EN(x) denotes the Casimir energy as a function of the tension ratio x=TI/TII, it turns out that the ratio fN(x)=EN(x)/EN(0), which lies between zero and one, will be practically independent of N for integers N≥2. Physical implications of this scaling invariance are discussed. Finite temperature theory is also considered. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532792
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  • 2
    Electronic Resource
    Electronic Resource
    On the Casimir energy for a 2N-piece relativistic string (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 2774-2785 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string consists of 2N pieces of equal length, of alternating type I and type II material, and is taken to be relativistic in the sense that the velocity of sound always equals the velocity of light. By means of a new recursion formula we manage to calculate the Casimir energy for arbitrary integers N. Agreement with results obtained in earlier works on the string is found in all special cases. As basic regularization method we use the contour integration method. As a check, agreement is found with results obtained from the ζ function method (the Hurwitz function) in the case of low N(N=1–4). The Casimir energy is generally negative, and the more so the larger is the value of N. We illustrate the results graphically in some cases. The generalization to finite temperature theory is also given. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532018
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  • 3
    Electronic Resource
    Electronic Resource
    Magnetohydrodynamic wave-current system with constant vorticity (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 2766-2773 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The basic linear theory is given for a perfectly conducting stratified wave-current system in which there is an upper layer of incompressible fluid of constant vorticity propagating on a slightly heavier lower layer of stagnant fluid. An extraneous homogeneous horizontal magnetic field B0 is present, directed either longitudinally or transversely. Because of the magnetic field the basic governing equations for the system form a set of differential equations, in marked contrast to the single algebraic dispersion equation that would result were the magnetic field absent. The differential equations are solved, and the solutions are shown graphically for various cases of the magnetic field strength. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869060
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  • 4
    Electronic Resource
    Electronic Resource
    The Kelvin–Helmholtz instability for surface waves in currents of uniform vorticity (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1644-1650 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Kelvin–Helmholtz (KH) instability is investigated for the case when linear monochromatic water waves of wave number k are propagating in a current whose undisturbed horizontal velocity profile is linear down to some depth h, and zero beneath. The present paper generalizes the work of Esch [J. Fluid Mech. 12, 192 (1962)] to the case of finite water depth D. Surface tension is neglected. The result of the analysis is a quartic equation for the phase velocity. The presence of a finite water depth tends to stabilize the flow field: The interval in kh, for which complex roots of the dispersion equation occur, becomes narrower as the depth decreases. Also, the growth rate of the flow decreases. The main results are illustrated graphically, and supplemented by analytic approximations in the limiting case when D/h lies close to unity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858840
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  • 5
    Electronic Resource
    Electronic Resource
    Phenomenological electrodynamics in curvilinear space, with application to Rindler space (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 2241-2249 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The phenomenological Maxwell equations and the constitutive relations are derived in curvilinear coordinates endowed with a time-independent, time-orthogonal metric, when there is a uniform, isotropic, and homogeneous medium present. The way of formulating the electromagnetic theory chosen here is basically in agreement with the formulations given by von Laue and Arzeliès. The theory is thereafter applied to the case when the medium is at rest in Rindler space. The fundamental electromagnetic modes (the TE, TM, and TEM modes) are worked out in terms of modified Bessel functions, and the electromagnetic energy-momentum tensor is worked out in the Minkowski picture and shown to possess an interesting analogy with the case when an inhomogeneous medium is at rest in an inertial frame.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527437
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  • 6
    Electronic Resource
    Electronic Resource
    Electrostrictive contribution to the Casimir effect in a dielectric sphere
    Amsterdam : Elsevier
    Annals of Physics 138 (1982), S. 36-52 
    Details
    ISSN: 0003-4916
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0003-4916(82)90174-9
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  • 7
    Electronic Resource
    Electronic Resource
    The Casimir effect in a solid ball when εμ = 1
    Amsterdam : Elsevier
    Annals of Physics 143 (1982), S. 179-190 
    Details
    ISSN: 0003-4916
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0003-4916(82)90218-4
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  • 8
    Electronic Resource
    Electronic Resource
    Casimir Force on a Dielectric Cylinder
    Amsterdam : Elsevier
    Annals of Physics 230 (1994), S. 321-342 
    Details
    ISSN: 0003-4916
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1006/aphy.1994.1028
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  • 9
    Electronic Resource
    Electronic Resource
    Electromagnetic Casimir densities in dielectric spherical media
    Amsterdam : Elsevier
    Annals of Physics 149 (1983), S. 237-253 
    Details
    ISSN: 0003-4916
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0003-4916(83)90196-3
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  • 10
    Electronic Resource
    Electronic Resource
    Friction force with non-instantaneous interaction between moving harmonic oscillators
    Amsterdam : Elsevier
    Physica A: Statistical Mechanics and its Applications 196 (1993), S. 241-254 
    Details
    ISSN: 0378-4371
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0378-4371(93)90602-Z
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