798 Example 26.8 A Partially Filled Capacitor
... difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged ...
... difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged ...
Absolute potential energy
... example, gravitation is not conned to Earth system only. What if we want to refer potential energy value to an object on the surface of our moon? Would we refer its potential energy in reference to Earth's ground? We may argue that we can have moon's ground as reference for the object on its surfac ...
... example, gravitation is not conned to Earth system only. What if we want to refer potential energy value to an object on the surface of our moon? Would we refer its potential energy in reference to Earth's ground? We may argue that we can have moon's ground as reference for the object on its surfac ...
An effective quantum defect theory for the diamagnetic spectrum of a
... spectrum.[10] They found that the motional Stark effect can be eliminated by applying a cancelation voltage and the reliability of their method is checked by the identification of the σ + and σ − spectra even in the region of relatively high energy. Meng carried out a theoretical investigation in th ...
... spectrum.[10] They found that the motional Stark effect can be eliminated by applying a cancelation voltage and the reliability of their method is checked by the identification of the σ + and σ − spectra even in the region of relatively high energy. Meng carried out a theoretical investigation in th ...
On magnetic-field-induced electromagnetic superconductivity of
... and make the vacuum (super)conducting. B. Reduction to 1+1 dimensions? Yes, we have this phenomenon: in a very strong magnetic field the dynamics of electrically charged particles (quarks, in our case) becomes effectively one-dimensional, because the particles tend to move along the magnetic field o ...
... and make the vacuum (super)conducting. B. Reduction to 1+1 dimensions? Yes, we have this phenomenon: in a very strong magnetic field the dynamics of electrically charged particles (quarks, in our case) becomes effectively one-dimensional, because the particles tend to move along the magnetic field o ...
INTRODUCTION TO QUANTUM FIELD THEORY OF POLARIZED
... The sum is taken over all the wave modes in a cubic cavity of space with side L, volume V = L3 . The size of the cavity is arbitrary, but to have well-defined discrete modes, we impose periodic boundary conditions such that the wave number vector k has the component values kx,y,z = 2π nx,y,z /L , nx ...
... The sum is taken over all the wave modes in a cubic cavity of space with side L, volume V = L3 . The size of the cavity is arbitrary, but to have well-defined discrete modes, we impose periodic boundary conditions such that the wave number vector k has the component values kx,y,z = 2π nx,y,z /L , nx ...
Millikan Oil Drop Derivation ··· Seth Hopper ··· 4/3/06 +
... once. The second term will be constant for each particular drop, but will have to be calculated again whenever a new drop is observed. (That is true only if the temperature, and thus η remain constant while observing the drop.) The third term will change each time the force from the electric field c ...
... once. The second term will be constant for each particular drop, but will have to be calculated again whenever a new drop is observed. (That is true only if the temperature, and thus η remain constant while observing the drop.) The third term will change each time the force from the electric field c ...
- Philsci
... If such free photons are involved, then (at least at the level of the system in the drawing) we don’t really have the light-tight box condition allowing for the use of D rather than DF. (In any case, D alone would not provide for the propagation of energy in only one direction; time-symmetric energy ...
... If such free photons are involved, then (at least at the level of the system in the drawing) we don’t really have the light-tight box condition allowing for the use of D rather than DF. (In any case, D alone would not provide for the propagation of energy in only one direction; time-symmetric energy ...
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.