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Advanced Higher Physics learning outcomes
Advanced Higher Physics learning outcomes

Partition Functions in Classical and Quantum Mechanics
Partition Functions in Classical and Quantum Mechanics

Gravity - barransclass
Gravity - barransclass

Lesson 7 (1) Definition of Electric Potential Consider the electric field
Lesson 7 (1) Definition of Electric Potential Consider the electric field

Super Quick Mechanics Review Sheet
Super Quick Mechanics Review Sheet

equipotential surface
equipotential surface

Slide 1
Slide 1

Q1. Figure 1 shows four situations in which a central proton
Q1. Figure 1 shows four situations in which a central proton

... Q16. The plates of a parallel plate capacitor each has an area of 0.400 m2 and are separated by a distance of 0.0200 m. They are charged until the potential difference between the plates is 3000 V. The capacitor is then disconnected from the battery. Suppose that a dielectric slab is inserted to com ...
ECEN 3410 - Electromagnetic Fields and Transmission
ECEN 3410 - Electromagnetic Fields and Transmission

2a 4ac bbx 2
2a 4ac bbx 2

... superposition of two identical waves moving in opposite directions. • There is no net flow of energy in the medium. • Node: The points of no displacement when standing waves are formed. • Antinodes: The points along the medium which vibrate back and forth with maximum displacement. • Echo: The sound ...
Newton`s Law of Universal Gravitation
Newton`s Law of Universal Gravitation

Laszlo and McTaggart
Laszlo and McTaggart

... when he proposed that science was a matter of res extensa, or extended stuff. ‘Mind’ stuff, as nonextended, non-localised, was not the subject of scientific enquiry. However much we have moved on since Galileo and Descartes, physics sticks to the primary qualities of extended stuff, and its very suc ...
EM Waves
EM Waves

The Dark Energy Atom Interferometer Experiment
The Dark Energy Atom Interferometer Experiment

File
File

1.2.8. Additional solutions to Schrödinger`s equation
1.2.8. Additional solutions to Schrödinger`s equation

... 1.2.8. Additional solutions to Schrödinger’s equation This section is devoted to some specific quantum structures that are present in semiconductor devices. These are: 1) the finite quantum well, a more realistic version of the infinite well as found in quantum well laser diodes, 2) a triangular wel ...
The Electrostatic Force
The Electrostatic Force

Black-body Radiation & the Quantum Hypothesis
Black-body Radiation & the Quantum Hypothesis

FIELD THEORY 1. Consider the following lagrangian1
FIELD THEORY 1. Consider the following lagrangian1

... The minimal Goldstone model : consider the classical Lagrangian for a real scalar field L = 12 ∂ µ φ (x) ∂ µ φ (x) + 12 µ 2 φ 2 (x) − 14 λ φ 4 (x) with µ ∈ R and λ > 0 1. Find all the symmetries of the above field theoretic model 2. Write the energy momentum tensor as well as the total energy and to ...
any
any

Solution to ST-1 - kaliasgoldmedal
Solution to ST-1 - kaliasgoldmedal

Electric Field
Electric Field

If a bar magnet is divided into two equal pieces,
If a bar magnet is divided into two equal pieces,

Electric fields in matter
Electric fields in matter

Faraday*
Faraday*

< 1 ... 104 105 106 107 108 109 110 111 112 ... 139 >

Casimir effect



In quantum field theory, the Casimir effect and the Casimir–Polder force are physical forces arising from a quantized field. They are named after the Dutch physicist Hendrik Casimir.The typical example is of two uncharged metallic plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field means that there is no field between the plates, and no force would be measured between them. When this field is instead studied using the QED vacuum of quantum electrodynamics, it is seen that the plates do affect the virtual photons which constitute the field, and generate a net force—either an attraction or a repulsion depending on the specific arrangement of the two plates. Although the Casimir effect can be expressed in terms of virtual particles interacting with the objects, it is best described and more easily calculated in terms of the zero-point energy of a quantized field in the intervening space between the objects. This force has been measured and is a striking example of an effect captured formally by second quantization. However, the treatment of boundary conditions in these calculations has led to some controversy.In fact, ""Casimir's original goal was to compute the van der Waals force between polarizable molecules"" of the metallic plates. Thus it can be interpreted without any reference to the zero-point energy (vacuum energy) of quantum fields.Dutch physicists Hendrik B. G. Casimir and Dirk Polder at Philips Research Labs proposed the existence of a force between two polarizable atoms and between such an atom and a conducting plate in 1947, and, after a conversation with Niels Bohr who suggested it had something to do with zero-point energy, Casimir alone formulated the theory predicting a force between neutral conducting plates in 1948; the former is called the Casimir–Polder force while the latter is the Casimir effect in the narrow sense. Predictions of the force were later extended to finite-conductivity metals and dielectrics by Lifshitz and his students, and recent calculations have considered more general geometries. It was not until 1997, however, that a direct experiment, by S. Lamoreaux, described above, quantitatively measured the force (to within 15% of the value predicted by the theory), although previous work [e.g. van Blockland and Overbeek (1978)] had observed the force qualitatively, and indirect validation of the predicted Casimir energy had been made by measuring the thickness of liquid helium films by Sabisky and Anderson in 1972. Subsequent experiments approach an accuracy of a few percent.Because the strength of the force falls off rapidly with distance, it is measurable only when the distance between the objects is extremely small. On a submicron scale, this force becomes so strong that it becomes the dominant force between uncharged conductors. In fact, at separations of 10 nm—about 100 times the typical size of an atom—the Casimir effect produces the equivalent of about 1 atmosphere of pressure (the precise value depending on surface geometry and other factors).In modern theoretical physics, the Casimir effect plays an important role in the chiral bag model of the nucleon; in applied physics, it is significant in some aspects of emerging microtechnologies and nanotechnologies.Any medium supporting oscillations has an analogue of the Casimir effect. For example, beads on a string as well as plates submerged in noisy water or gas illustrate the Casimir force.
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