Origin of the Short-Range, Strong Repulsive Force between Ionic
... electrostatic fields clearly differ from the predictions of electrostatic theories on hydration forces [11,12]. The effect that this anomalous dielectric behavior of water has on the electrostatic force between surfaces or interfaces is still unknown. Our aim in this Letter is to study the electrost ...
... electrostatic fields clearly differ from the predictions of electrostatic theories on hydration forces [11,12]. The effect that this anomalous dielectric behavior of water has on the electrostatic force between surfaces or interfaces is still unknown. Our aim in this Letter is to study the electrost ...
Decoherence and quantum quench: their relationship with excited
... |ψ0 i = ∑ hE1i |ψ0 i e−iE1it = ∑ |ci |2 e−iE1it , | {z } i i ...
... |ψ0 i = ∑ hE1i |ψ0 i e−iE1it = ∑ |ci |2 e−iE1it , | {z } i i ...
From photoelectric effect to digital imaging
... quantum mechanics: the photoelectric effect. Qualitatively, the photoelectric effect is simply t he fact that electrons can escape from the surface of a metal when light shines on it . In general, electrons can only escape from the surface of a metal when energy is given to them. The minimal energy ...
... quantum mechanics: the photoelectric effect. Qualitatively, the photoelectric effect is simply t he fact that electrons can escape from the surface of a metal when light shines on it . In general, electrons can only escape from the surface of a metal when energy is given to them. The minimal energy ...
Chapter 11 Noncommuting Operators and Uncertainty
... estimates of what you’d get (the best we can really do) gives a value of the vacuum energy density that is so high that it would prevent galaxies from ever having formed in our Universe. The fact that you are reading this indicates that this estimate cannot be right. Indeed, quantum field theory est ...
... estimates of what you’d get (the best we can really do) gives a value of the vacuum energy density that is so high that it would prevent galaxies from ever having formed in our Universe. The fact that you are reading this indicates that this estimate cannot be right. Indeed, quantum field theory est ...
Computational Models of Superconducting Quantum Effects
... If we could do a systematic study of the elements, alloys and superconducting composites seeing as response to the BSC-theory predictions, we would see that if the electron-phonon interaction is more intense (for example, are very highest the values of the resistivity in the normal state), major is ...
... If we could do a systematic study of the elements, alloys and superconducting composites seeing as response to the BSC-theory predictions, we would see that if the electron-phonon interaction is more intense (for example, are very highest the values of the resistivity in the normal state), major is ...
Relativistic Field Theories of Elementary Particles
... lirst and D in the second Eq. (3') are consistent. Ke shouM like in particular to note the difference between 6elds like U&"), U*~") which under the gauge group suRers a transformation of the type (23a) which we shall call the gauge transformation of the first type, and 6elds, such as the electromag ...
... lirst and D in the second Eq. (3') are consistent. Ke shouM like in particular to note the difference between 6elds like U&"), U*~") which under the gauge group suRers a transformation of the type (23a) which we shall call the gauge transformation of the first type, and 6elds, such as the electromag ...
Energy Spectra of an Electron in a Pyramid-shaped
... geometry is complicated, because even in the twodimensional case Laplace’s equation becomes nonanalytical in the vicinity of certain corner angles [5], so that the system can be studied only numerically. Currently, there was a considerable progress in finite volume modeling of square-based pyramid w ...
... geometry is complicated, because even in the twodimensional case Laplace’s equation becomes nonanalytical in the vicinity of certain corner angles [5], so that the system can be studied only numerically. Currently, there was a considerable progress in finite volume modeling of square-based pyramid w ...
D (t-t
... proportional to ”, this quantity is called the loss factor. From (6.34) we find the average energy dissipation per unit of time: o 2 ...
... proportional to ”, this quantity is called the loss factor. From (6.34) we find the average energy dissipation per unit of time: o 2 ...
Electron energy level statistics in graphene quantum dots
... spacing S is defined as the energy difference ∆Ei = Ei – Ei – 1 between successive levels, divided by the average 〈∆Ei 〉 of the energy differences between successive levels. The number P(S) gives the number of energy difference for which S – ∆/2 < ∆Ei /〈∆Ei 〉 ≤ S + ∆/2, where ∆ is the bin size of th ...
... spacing S is defined as the energy difference ∆Ei = Ei – Ei – 1 between successive levels, divided by the average 〈∆Ei 〉 of the energy differences between successive levels. The number P(S) gives the number of energy difference for which S – ∆/2 < ∆Ei /〈∆Ei 〉 ≤ S + ∆/2, where ∆ is the bin size of th ...
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.