Search Results - "Kirsten, Klaus"

Universal features of quantum bounce in loop quantum cosmology by Zhu, Tao, Wang, Anzhong, Kirsten, Klaus, Cleaver, Gerald, Sheng, Qin

“…In this Letter, we study analytically the evolutions of the flat Friedmann–Lemaitre–Robertson–Walker (FLRW) universe and its linear perturbations in the…”
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The gluing formula, conformal scaling, and geometry by Kirsten, Klaus, Lee, Yoonweon

“…We exploit conformal transformations of gluing formulas to realize connections between zeta functions of Laplacians and associated Dirichlet-to-Neumann map…”
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The Polynomial Associated with the BFK-Gluing Formula of the Zeta-Determinant on a Compact Warped Product Manifold by Kirsten, Klaus, Lee, Yoonweon

“…In the proof of the BFK-gluing formula of the zeta-determinant of a Laplacian there appears a polynomial of degree less than half of the dimension of an…”
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Gluing Formula for Casimir Energies by Kirsten, Klaus, Lee, Yoonweon

“…We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained,…”
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The Casimir effect for conical pistons by Fucci, Guglielmo, Kirsten, Klaus

“…In this paper we utilize ζ-function regularization techniques in order to compute the Casimir force for massless scalar fields subject to Dirichlet and Neumann…”
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The Krein-von Neumann extension revisited by Fucci, Guglielmo, Gesztesy, Fritz, Kirsten, Klaus, Littlejohn, Lance L., Nichols, Roger, Stanfill, Jonathan

“…We revisit the Krein-von Neumann extension in the case where the underlying symmetric operator is strictly positive and apply this to derive the explicit form…”
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Spectral ζ-functions and ζ-regularized functional determinants for regular Sturm–Liouville operators by Fucci, Guglielmo, Gesztesy, Fritz, Kirsten, Klaus, Stanfill, Jonathan

“…The principal aim in this paper is to employ a recently developed unified approach to the computation of traces of resolvents and ζ -functions to efficiently…”
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Casimir pistons with generalized boundary conditions: a step forward by Fucci, Guglielmo, Kirsten, Klaus, Muñoz-Castañeda, Jose M.

“…In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type I × N where I is an interval of the real line…”
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Functional determinants by contour integration methods by Kirsten, Klaus, McKane, Alan J.

“…We present a simple and accessible method which uses contour integration methods to derive formulae for functional determinants. To make the presentation as…”
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Addendum to: “Effective computation of traces, determinants, and ζ-functions for Sturm–Liouville operators” [J. Funct. Anal. 276 (2019) 520–562] by Gesztesy, Fritz, Kirsten, Klaus

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The curvature tensors associated with the gluing formula of the zeta-determinants for the Robin boundary condition by Kirsten, Klaus, Lee, Yoonweon

“…The gluing formula for the zeta-determinants of Laplacians with respect to the Robin boundary condition was proved in [15]. This formula contains a constant…”
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The zeta-determinant of the Dirichlet-to-Neumann operator on forms by Kirsten, Klaus, Lee, Yoonweon

“…On a compact Riemannian manifold M with boundary Y , we express the log of the zeta-determinant of the Dirichlet-to-Neumann operator acting on q -forms on Y as…”
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Zeta functions of Dirac and Laplace-type operators over finite cylinders by Kirsten, Klaus, Loya, Paul, Park, Jinsung

“…In this paper, a complete description of the zeta functions and corresponding zeta determinants for Dirac and Laplace-type operators over finite cylinders…”
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Casimir pistons with generalized boundary conditions: a step forward by Fucci, Guglielmo, Kirsten, Klaus, Munoz-Castaneda, Jose M

“…In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type $I\times N$ where $I$ is an interval of the…”
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The Krein-von Neumann extension revisited by Fucci, Guglielmo, Gesztesy, Fritz, Kirsten, Klaus, Littlejohn, Lance L, Nichols, Roger, Stanfill, Jonathan

“…Applicable Anal. 2021, 25p We revisit the Krein-von Neumann extension in the case where the underlying symmetric operator is strictly positive and apply this…”
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The BFK-gluing formula and relative determinants on manifolds with cusps by Kirsten, Klaus, Lee, Yoonweon

“…In this paper we use the BFK-gluing formula for zeta-determinants to express the relative determinant of Laplacians on a manifold with cusps by the product of…”
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Gravitational quantum effects on power spectra and spectral indices with higher-order corrections by Zhu, Tao, Wang, Anzhong, Cleaver, Gerald, Kirsten, Klaus, Sheng, Qin

“…The uniform asymptotic approximation method provides a powerful, systematically improved, and error-controlled approach to construct accurate analytical…”
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Inflationary cosmology with nonlinear dispersion relations by Zhu, Tao, Wang, Anzhong, Cleaver, Gerald, Kirsten, Klaus, Sheng, Qin

“…We present a technique, the uniform asymptotic approximation, to construct accurate analytical solutions of the linear perturbations of inflation after quantum…”
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Power spectra and spectral indices of k-inflation: High-order corrections by Zhu, Tao, Wang, Anzhong, Cleaver, Gerald, Kirsten, Klaus, Sheng, Qin

“…k-inflation represents the most general single-field inflation, in which the perturbations usually obey an equation of motion with a time-dependent sound…”
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Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials by Fucci, Guglielmo, Kirsten, Klaus

“…J. Phys. A: Math. Theor. 49 ( 2016 ) 275203 In this paper we analyze the spectral zeta function associated with a Laplace operator acting on scalar functions…”
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