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Chapter Summary
Chapter Summary

Chapter 26
Chapter 26

CAPACITANCE: (Boctor, Ch. 8, p. 272)
CAPACITANCE: (Boctor, Ch. 8, p. 272)

The Theorem of Ostrogradsky
The Theorem of Ostrogradsky

PHYSICS 241/261 EXAM I June 28, 2002
PHYSICS 241/261 EXAM I June 28, 2002

A More “Universal” Atomic Model
A More “Universal” Atomic Model

... added bare mass to Lorentz’s electron to fix the Fitzgerald-Lorentz contraction problem, it also helped with persistence [6]. Treating the vacuum energy in its pure energy state should also help the semiclassical electron with its persistence problems. Electron Model and Modifications Milo Wolff’s e ...
Q No - Air University
Q No - Air University

Quantum Field Theory in Curved Spacetime
Quantum Field Theory in Curved Spacetime

Lec13drs
Lec13drs

ATLAS experiment at the CERN Large Hadron Collider
ATLAS experiment at the CERN Large Hadron Collider

... Fundamental Forces All forces are carried by particles ! Gravity – solar system, galaxies …- extremely weak force Electromagnetic – atoms, electricity ….. - carried by photons Weak force ...
EMI Shielding Theory - Electronics Protection Magazine
EMI Shielding Theory - Electronics Protection Magazine

Quantum Field Theory - damtp
Quantum Field Theory - damtp

Coulomb’s Law - Cinnaminson Township Public Schools
Coulomb’s Law - Cinnaminson Township Public Schools

Answers
Answers

Hwa-Tung Nieh
Hwa-Tung Nieh

fundamental_reality\holographic paradigm\morphogenetic fields
fundamental_reality\holographic paradigm\morphogenetic fields

Quantum Condensed Matter Field Theory
Quantum Condensed Matter Field Theory

... formal exact solution is at hand. Such misconceptions are often reinforced by the allure of sophisticated analytical machinery developed in courses devoted to mathematical methods. However, the limitations of a ‘first-principles’ or ‘microscopic approach’ is nowhere more exposed than in the study of ...
Electromagnetic force density in dissipative isotropic media
Electromagnetic force density in dissipative isotropic media

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No Slide Title

FROM ANTI-GRAVITY TO ZERO-POINT ENERGY
FROM ANTI-GRAVITY TO ZERO-POINT ENERGY

Exam 1 Solutions
Exam 1 Solutions

... The  simplest  way  to  solve  this  is  to  just  try  each  choice  for  the  third  particle   and  see  if  all  forces  on  each  particle  vanish.  For  example,  let’s  find  the  net   force  on  particle  1.     ⎛ qq qq ...
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Work Problems Mr. Kepple

... equal to the change in its kinetic energy. Situation (c) is the only situation with positive work since the object gains speed. Situations (a) and (b) both have negative work since the puck loses speed. Kinetic energy is proportional to speed squared so more negative work is done in (a) since the ma ...
Intermolecular Forces
Intermolecular Forces

... interestingly weird, but it is an unlikely situation in aqueous medium, and in any case it is easily over-ridden by stronger, oriented net dipole effects. ...
P410M: Relativistic Quantum Fields
P410M: Relativistic Quantum Fields

Lesson 5: The Parallel Plate System
Lesson 5: The Parallel Plate System

... referred  to  as  a  parallel  plate  capacitor.  The   parallel  plate  system  has  two  flat  metal   conductors  held  parallel  to  each  other  a   distance  apart.  One  plate  is  given  a  positive   charge  and  the  other ...
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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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