Plentiful Nothingness: The Void in Modern Art and Modern Science
... quantum field theory contribute to the cosmological constant Λ • zero-point energy of a harmonic oscillator (vacuum = ground state) E= ...
... quantum field theory contribute to the cosmological constant Λ • zero-point energy of a harmonic oscillator (vacuum = ground state) E= ...
Helge Dobbertin Universität Rostock Van der Waals interaction at
... Van der Waals interaction at finite temperature in the presence of macroscopic bodies Abstract: Dispersion forces such as van der Waals forces originate from electromagnetic field fluctuations that also exist in the ground state of the quantized field. At finite temperature, additional noise sources ...
... Van der Waals interaction at finite temperature in the presence of macroscopic bodies Abstract: Dispersion forces such as van der Waals forces originate from electromagnetic field fluctuations that also exist in the ground state of the quantized field. At finite temperature, additional noise sources ...
Electric Potential 1. A negative charge q is fired through small hole
... 4. A capacitor is charged until the electric field strength inside the capacitor is 5000 V/m then disconnected from battery. A dielectric is inserted between the plates of the capacitor and the field is re-measured. The new reading shows the strength is 1000 V/m. a) Visualize the charges inside the ...
... 4. A capacitor is charged until the electric field strength inside the capacitor is 5000 V/m then disconnected from battery. A dielectric is inserted between the plates of the capacitor and the field is re-measured. The new reading shows the strength is 1000 V/m. a) Visualize the charges inside the ...
Mixed Problems for Electric Field, Potential, Capacitance, and
... c. How much work is need to moves from infinity to the point 0.03 m from the charged object? 12. A proton is placed halfway between two oppositely charge parallel plates. The plates are separated by a distance of 0.5 m and there is a uniform electric field of 1500 N/C to the right. The proton ...
... c. How much work is need to moves from infinity to the point 0.03 m from the charged object? 12. A proton is placed halfway between two oppositely charge parallel plates. The plates are separated by a distance of 0.5 m and there is a uniform electric field of 1500 N/C to the right. The proton ...
midterm answers
... Why must this time interval t be greater than zero? only a full electron can be detected, neither 10 % of it nor 99%, …, so there must be a finite time greater zero, there is a finite probability density at t 0 as we are talking about a steady state, used the time independent Schrödinger equatio ...
... Why must this time interval t be greater than zero? only a full electron can be detected, neither 10 % of it nor 99%, …, so there must be a finite time greater zero, there is a finite probability density at t 0 as we are talking about a steady state, used the time independent Schrödinger equatio ...
Document
... placed in an electric field where the intensity is 1.3´104Vm-1? 7. At a certain point in a material, the flux density is 0.09Cm-2 and the electric field intensity is 1.2´109Vm-1. What is the permittivity of the material? 8. The voltage difference between two parallel, charged surfaces is 9V and the ...
... placed in an electric field where the intensity is 1.3´104Vm-1? 7. At a certain point in a material, the flux density is 0.09Cm-2 and the electric field intensity is 1.2´109Vm-1. What is the permittivity of the material? 8. The voltage difference between two parallel, charged surfaces is 9V and the ...
Answers to Cyclotron Questions File
... We have just seen that the time taken for an orbit is independent of its energy so particles of different energies will orbit at the same speed e the same mass and chargeprovided that they hav ...
... We have just seen that the time taken for an orbit is independent of its energy so particles of different energies will orbit at the same speed e the same mass and chargeprovided that they hav ...
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.