Level Splitting at Macroscopic Scale
... The possibility of analogies between quantum waves and fluid surface waves was first shown to be relevant and useful by M. Berry et al. [1] when these authors gave an intuitive interpretation of the Aharonov-Bohm effect [2]. Until then, this quantum effect had been considered strange: electrons trav ...
... The possibility of analogies between quantum waves and fluid surface waves was first shown to be relevant and useful by M. Berry et al. [1] when these authors gave an intuitive interpretation of the Aharonov-Bohm effect [2]. Until then, this quantum effect had been considered strange: electrons trav ...
The Yukawa Theory of Nuclear Forces in the Light of Present
... These difficulties cannot be really solved yet; but the recent progress in quantum theory of wave fields4) shows so clearly the way towards the solution of these problems; that it may be worth while to discuss this way, even if it is still too early to work it out in the mathematical details. In the ...
... These difficulties cannot be really solved yet; but the recent progress in quantum theory of wave fields4) shows so clearly the way towards the solution of these problems; that it may be worth while to discuss this way, even if it is still too early to work it out in the mathematical details. In the ...
Landau Levels
... a complete set of energy eigenstates can be chosen to be °nx ny ] where nx , ny = 0, 1, 2, … The eigenenergies are Enx ny = nx + ny + 1. ...
... a complete set of energy eigenstates can be chosen to be °nx ny ] where nx , ny = 0, 1, 2, … The eigenenergies are Enx ny = nx + ny + 1. ...
1 Electric Potential Energy
... The Millikan Oil-Drop Experiment • two parallel, horizontal metal plates, insulated and separated, maintained at a potential difference • oil drops are sprayed from an atomizer and acquire a charge • a few drops fall from a hole in the top plate and are observed with a telescope equipped with a scal ...
... The Millikan Oil-Drop Experiment • two parallel, horizontal metal plates, insulated and separated, maintained at a potential difference • oil drops are sprayed from an atomizer and acquire a charge • a few drops fall from a hole in the top plate and are observed with a telescope equipped with a scal ...
Transient Dynamics of Atoms Between Parallel Conducting Plates 1
... Bloch equations will be considered here. We consider in this work a two level atom in a particular cavity, namely a two infinite planar parallel perfectly conducting plates separated by a distance L in vacuum [7]. The motivation for such a structure reside essentially in the fact that this structure ...
... Bloch equations will be considered here. We consider in this work a two level atom in a particular cavity, namely a two infinite planar parallel perfectly conducting plates separated by a distance L in vacuum [7]. The motivation for such a structure reside essentially in the fact that this structure ...
Casimir and Critical Casimir effects An overview Sergio Ciliberto
... is universal. and does not depend on the specific material of the plates, but only on geometrical properties (S and L) and on fundamental constants The higher order term in the expansion: is a material-dependent parameter which describes the deviations of the plates from the perfectly conducting beh ...
... is universal. and does not depend on the specific material of the plates, but only on geometrical properties (S and L) and on fundamental constants The higher order term in the expansion: is a material-dependent parameter which describes the deviations of the plates from the perfectly conducting beh ...
PDF only - at www.arxiv.org.
... to them spread (smeared) all around the central peak. The system is polarizable in a fluctuating dipolar field as before and gives rise to an inversion dipole and a dispersive force to couple to any nearby off-center entity. Although the central VdW force has been studied extensively [3], little has ...
... to them spread (smeared) all around the central peak. The system is polarizable in a fluctuating dipolar field as before and gives rise to an inversion dipole and a dispersive force to couple to any nearby off-center entity. Although the central VdW force has been studied extensively [3], little has ...
Exam 1 Solutions
... where 2 is the height above ground, I! œ "#! VÎm, and O œ #Þ( ‚ "!# VÎm# . Based on this information, find the potential difference between the ground and an airplane flying at an altitude of #Þ! km. Make sure to say whether the airplane or the ground has higher potential. ...
... where 2 is the height above ground, I! œ "#! VÎm, and O œ #Þ( ‚ "!# VÎm# . Based on this information, find the potential difference between the ground and an airplane flying at an altitude of #Þ! km. Make sure to say whether the airplane or the ground has higher potential. ...
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.