physics
... except your answer paper. Then and only then, place an X in ink in each penciled circle. Be sure to mark only one answer with an X in ink for each question. No credit will be given for any question with two or more X’s marked. The sample below indicates how your final choice should be marked with an ...
... except your answer paper. Then and only then, place an X in ink in each penciled circle. Be sure to mark only one answer with an X in ink for each question. No credit will be given for any question with two or more X’s marked. The sample below indicates how your final choice should be marked with an ...
Reaction forces on a relativistic point charge moving above a
... It is well known that if a charged particle moves in the vicinity of a dielectric at a velocity higher than the phase velocity of a plane wave in the corresponding material, then Cherenkov radiation is emitted; its spectrum is a topic that appears in many textbooks; see, e.g., @1#. This radiation co ...
... It is well known that if a charged particle moves in the vicinity of a dielectric at a velocity higher than the phase velocity of a plane wave in the corresponding material, then Cherenkov radiation is emitted; its spectrum is a topic that appears in many textbooks; see, e.g., @1#. This radiation co ...
Coupled Electron Ion Monte Carlo Calculations of Atomic Hydrogen
... of the trial wavefunction needed to calculate the BornOppenheimer energies. Variational Monte Carlo depends crucially on the quality of the trial wavefunction. To go beyond VMC, we implemented a Reptation Quantum Monte Carlo algorithm (RQMC)[12] to sample more accurately the electronic ground state. ...
... of the trial wavefunction needed to calculate the BornOppenheimer energies. Variational Monte Carlo depends crucially on the quality of the trial wavefunction. To go beyond VMC, we implemented a Reptation Quantum Monte Carlo algorithm (RQMC)[12] to sample more accurately the electronic ground state. ...
1) Two infinite planes, one with charge density + , one with charge
... (You can see this easily for a single fixed charge… it holds in general because of superposition.) Electric forces are “conservative” - We can define a potential energy. When a + charge moves “down the field”, the electric force does work on it, increasing its kinetic energy (or putting energy elsew ...
... (You can see this easily for a single fixed charge… it holds in general because of superposition.) Electric forces are “conservative” - We can define a potential energy. When a + charge moves “down the field”, the electric force does work on it, increasing its kinetic energy (or putting energy elsew ...
Dielectric Polarization
... because the medium has a permittivity ε. Note that since the surface charge density increases when the dielectric is present the capacitance also increases. The relationship between the dielectric constant and the permittivity of vacuum is ε = εrε0. The relative permittivity εr is commonly called th ...
... because the medium has a permittivity ε. Note that since the surface charge density increases when the dielectric is present the capacitance also increases. The relationship between the dielectric constant and the permittivity of vacuum is ε = εrε0. The relative permittivity εr is commonly called th ...
Wake field
... A rigid beam with charge q going through a device of length L leaves behind an oscillating field and a probe charge e at distance z feels a force as a result. The integral of this force over the device defines the wake field and its Fourier transform is called the impedance of the device of length L ...
... A rigid beam with charge q going through a device of length L leaves behind an oscillating field and a probe charge e at distance z feels a force as a result. The integral of this force over the device defines the wake field and its Fourier transform is called the impedance of the device of length L ...
physics - Regents
... a ball, at equal time intervals, as it falls freely from rest near Earth’s surface? ...
... a ball, at equal time intervals, as it falls freely from rest near Earth’s surface? ...
05 Potential and voltage
... Important observation : the potential difference DOES NOT depend on the absolute position of the starting point. ...
... Important observation : the potential difference DOES NOT depend on the absolute position of the starting point. ...
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.