The Casimir force between real materials: Experiment and theory

Klimchitskaya, G. L.; Mohideen, U.; Mostepanenko, V. M.

doi:10.1103/revmodphys.81.1827

Cited by 780 publications

(1,095 citation statements)

References 342 publications

(700 reference statements)

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“…9,18 Constant contact potential was observed in all other experiments by R. S. Decca as well. 2,5 Independent on separation contact potential was also reported in experiments by U. Mohideen. 2,4,5,[23][24][25] It is notable that all these experiments were performed in high vacuum with small spheres of order 100 µm curvature radii.…”

Section: Anomalies In Electrostatic Calibrationsmentioning

confidence: 65%

“…Actually, there are no such experiments. 2 What's more, measuring of accuracy in percents 1 is in contradiction with the rigorous understanding of this concept.…”

Section: Confusion Between Accuracy Precision and Measure Of Agreemementioning

confidence: 97%

“…In so doing, each experiment on measuring the Casimir force is characterized by a total experimental error, total theoretical error, and measure of agreement between experiment and theory determined at some high (usually 95%) confidence level. 2 Therefore the above cited characterizations of precise experiments, 1 which confuse 1% agreement, 1% accuracy and 1% precision are completely misleading. According to Ref.…”

Section: Confusion Between Accuracy Precision and Measure Of Agreemementioning

confidence: 99%

“…The Casimir force in sphere-plate geometry under the experimental conditions a R is usually calculated using the PFA. 2,5 According to the most general formulation of the PFA, 27 the unknown force between the elements of curved surfaces is approximately replaced with a known force per unit area of the plane surfaces (i.e., a pressure) at the respective separation multiplied by an area element. Applied to a spherical lens of thickness D above a plane z = 0, the PFA represents the force between them in the form…”

Section: Influence Of Surface Imperfections On the Casimir Force For mentioning

confidence: 99%

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What Is Credible and What Is Incredible in the Measurements of the Casimir Force

Mostepanenko

2011

Int. J. Mod. Phys. Conf. Ser.

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We comment on progress in measurements of the Casimir force and discuss what is the actual reliability of different experiments. In this connection a more rigorous approach to the usage of such concepts as accuracy, precision, and measure of agreement between experiment and theory, is presented. We demonstrate that all measurements of the Casimir force employing spherical lenses with centimeter-size curvature radii are fundamentally flawed due to the presence of bubbles and pits on their surfaces. The commonly used formulation of the proximity force approximation is shown to be inapplicable for centimeter-size lenses. New expressions for the Casimir force are derived taking into account surface imperfections. Uncontrollable deviations of the Casimir force from the values predicted using the assumption of perfect sphericity vary by a few tens of percent within the separation region from 1 to 3 µm. This makes impractical further use of centimeter-size lenses in experiments on measuring the Casimir force.

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Section: Anomalies In Electrostatic Calibrationsmentioning

confidence: 65%

“…Actually, there are no such experiments. 2 What's more, measuring of accuracy in percents 1 is in contradiction with the rigorous understanding of this concept.…”

Section: Confusion Between Accuracy Precision and Measure Of Agreemementioning

confidence: 97%

Section: Confusion Between Accuracy Precision and Measure Of Agreemementioning

confidence: 99%

Section: Influence Of Surface Imperfections On the Casimir Force For mentioning

confidence: 99%

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What Is Credible and What Is Incredible in the Measurements of the Casimir Force

Mostepanenko

2011

Int. J. Mod. Phys. Conf. Ser.

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“…The Casimir effect arises from the change in the zeropoint energy of the system [4][5][6][7][8]. This change could happen when nontrivial boundary conditions are imposed or nontriva e-mail: ss-gousheh@sbu.ac.ir b e-mail: a_mohammadi@sbu.ac.ir c e-mail: l_shahkarami@sbu.ac.ir ial spatial background fields such as solitons are present.…”

Section: Introductionmentioning

confidence: 99%

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

2014

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We consider a fermion chirally coupled to a prescribed pseudoscalar field in the form of the soliton of the sine-Gordon model and calculate and investigate the Casimir energy and all of the relevant quantities, i.e. the spectrum of the states and the phase shifts, for each parity channel, separately. We present and use a simple prescription to construct the simultaneous eigenstates of the Hamiltonian and parity in the continua from the scattering states. We also use a prescription we had introduced earlier to calculate unique expressions for the phase shifts and check their consistency with both the weak and the strong forms of the Levinson theorem. In the graphs of the total and parity decomposed Casimir energies as a function of the parameters of the pseudoscalar field distinctive deformations appear whenever a fermionic bound state energy level with definite parity crosses the line of zero energy. However, the latter graphs show considerable sensitivity to the fine details of the shape of the background field which cannot be seen from the graph of the total Casimir energy. Finally, we consider a system consisting of a valence fermion in the ground state and find that the most energetically favorable configuration is the one with a soliton of winding number one, and this conclusion does not hold for each parity, separately.

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2015

Nanoelectromechanical Systems

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The Casimir force between real materials: Experiment and theory

Cited by 780 publications

References 342 publications

What Is Credible and What Is Incredible in the Measurements of the Casimir Force

What Is Credible and What Is Incredible in the Measurements of the Casimir Force

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

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