- Title Pages
- Preface
- Acknowledgements
- 1 Introduction
- 2 Simple Models of the Casimir Effect
- 3 Field Quantization and Vacuum Energy in the Presence of Boundaries
- 4 Regularization and Renormalization of the Vacuum Energy
- 5 The Casimir Effect at Nonzero Temperature
- 6 Approximate and Numerical Approaches
- 7 The Casimir Effect For Two Ideal-Metal Planes
- 8 The Casimir Effect in Rectangular Boxes
- 9 Single Spherical and Cylindrical Boundaries
- 10 The Casimir Force Between Objects of Arbitrary Shape
- 11 Spaces With Non-Euclidean Topology
- 12 The Lifshitz Theory of The Van Der Waals and Casimir Forces Between Plane Dielectrics
- 13 The Casimir Interaction Between Real-Metal Plates at Zero Temperature
- 14 The Casimir Interaction Between Real Metals at Nonzero Temperature
- 15 The Casimir Interaction Between a Metal and a Dielectric
- 16 The Lifshitz Theory of Atom―Wall Interactions
- 17 The Casimir Force Between Rough Surfaces and Corrugated Surfaces
- 18 General Requirements for Casimir Force Measurements
- 19 Measurements of the Casimir Force Between Metals
- 20 Measurements of the Casimir Force with Semiconductors
- 21 Measurements of the Casimir Force in Configurations with Corrugated Boundaries
- 22 Measurements of the Casimir―Polder Force
- 23 Applications of the Casimir Force in Nanotechnology
- 24 Constraints on Hypothetical Interactions from the Casimir Effect
- 25 Conclusions and Outlook
- References
- Index

# Measurements of the Casimir―Polder Force

# Measurements of the Casimir―Polder Force

- Chapter:
- (p.643) 22 MEASUREMENTS OF THE CASIMIR―POLDER FORCE
- Source:
- Advances in the Casimir Effect
- Author(s):
### M. Bordag

### G. L. Klimchitskaya

### U. Mohideen

### V. M. Mostepanenko

- Publisher:
- Oxford University Press

Modern laboratory techniques make possible the investigation of the role of the Casimir–Polder force in experiments on Bose–Einstein condensation and quantum reflection. Thus, it has been demonstrated that the collective oscillations of a Bose–Einstein condensate of ultracold atoms provide a sensitive probe of Casimir–Polder forces. Later, the first measurement of the temperature dependence of the Casimir–Polder force was performed in this way. The Casimir–Polder interaction plays an important role in the scattering of atoms on various surfaces. Of special interest are situations where the wave nature of an atom dominates in comparison with its classical behavior as a particle (this is referred to as quantum reflection). This chapter considers both of the latter two types of experiments in connection with the properties of the Casimir–Polder force.

*Keywords:*
Bose–Einstein condensation, quantum reflection, ultracold atoms, dc conductivity, phenomenological potential, interaction energy

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- Title Pages
- Preface
- Acknowledgements
- 1 Introduction
- 2 Simple Models of the Casimir Effect
- 3 Field Quantization and Vacuum Energy in the Presence of Boundaries
- 4 Regularization and Renormalization of the Vacuum Energy
- 5 The Casimir Effect at Nonzero Temperature
- 6 Approximate and Numerical Approaches
- 7 The Casimir Effect For Two Ideal-Metal Planes
- 8 The Casimir Effect in Rectangular Boxes
- 9 Single Spherical and Cylindrical Boundaries
- 10 The Casimir Force Between Objects of Arbitrary Shape
- 11 Spaces With Non-Euclidean Topology
- 12 The Lifshitz Theory of The Van Der Waals and Casimir Forces Between Plane Dielectrics
- 13 The Casimir Interaction Between Real-Metal Plates at Zero Temperature
- 14 The Casimir Interaction Between Real Metals at Nonzero Temperature
- 15 The Casimir Interaction Between a Metal and a Dielectric
- 16 The Lifshitz Theory of Atom―Wall Interactions
- 17 The Casimir Force Between Rough Surfaces and Corrugated Surfaces
- 18 General Requirements for Casimir Force Measurements
- 19 Measurements of the Casimir Force Between Metals
- 20 Measurements of the Casimir Force with Semiconductors
- 21 Measurements of the Casimir Force in Configurations with Corrugated Boundaries
- 22 Measurements of the Casimir―Polder Force
- 23 Applications of the Casimir Force in Nanotechnology
- 24 Constraints on Hypothetical Interactions from the Casimir Effect
- 25 Conclusions and Outlook
- References
- Index