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Violation of the Nernst heat theorem in the theory of the thermal Casimir force between Drude metals
We give a rigorous analytical derivation of low-temperature behavior of the Casimir entropy in the framework of the Lifshitz formula combined with the Drude dielectric function. An earlier resultExpand
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Analytical approximations to the l-wave solutions of the Schrödinger equation with the Eckart potential
The bound-state solutions of the Schrodinger equation with the Eckart potential with the centrifugal term are obtained approximately. It is shown that the solutions can be expressed in terms of theExpand
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THE RELATIVISTIC BOUND AND SCATTERING STATES OF THE ECKART POTENTIAL WITH A PROPER NEW APPROXIMATE SCHEME FOR THE CENTRIFUGAL TERM
The approximately analytical bound and scattering state solutions of the arbitrary l wave Klein–Gordon equation for mixed Eckart potentials are obtained through a proper new approximation to theExpand
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Non-relativistic quantum systems on topological defects spacetimes
We study the behaviour of non-relativistic quantum particles interacting with different potentials in the spacetimes generated by a cosmic string and a global monopole. We find the energy spectra inExpand
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Global effects due to a chiral cone
Scalar and spinor quantum particles are considered in the background space–time generated by a chiral cosmic string. It is shown that in this chiral conical space–time, the wave functions, the energyExpand
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The vacuum expectation value of the spinor massive field in the cosmic string spacetime
We find the contribution to the vacuum expectation value of the energy–momentum tensor of a massive Dirac field due to the conical geometry of the cosmic string spacetime. The heat kernel and heatExpand
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ALGEBRAIC APPROACH TO THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCARF POTENTIAL
Using the shape invariance approach we obtain exact solutions of one-dimensional Klein–Gordon equation with equal types of scalar and vector hyperbolic Scarf potentials. This is considered in theExpand
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AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R -1 and R 4
We study multi-dimensional gravitational models with scalar curvature nonlinearities of types R−1 and R4. It is assumed that the corresponding higher dimensional spacetime manifolds undergo aExpand
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Spacetime geometry fluctuations and geodesic deviation
The quantum fluctuations of the geodesic deviation equation in a flat background spacetime are discussed. We calculate the resulting mean squared fluctuations in the relative velocity and separationExpand
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