Quantum Dots: Theory, Application, Synthesis
... junction. When a photon with energy greater than the bandgap of silicon hits the solar cell, it excites a single electron with energy exactly equal to the silicon bandgap. Photons with energy less than the bandgap are transmitted by the silicon and do not contribute to the power output. This results ...
... junction. When a photon with energy greater than the bandgap of silicon hits the solar cell, it excites a single electron with energy exactly equal to the silicon bandgap. Photons with energy less than the bandgap are transmitted by the silicon and do not contribute to the power output. This results ...
Quantum field theory in curved spacetime
... and thermal Green’s functions derived from the Euclidean analogue of Schwarzschild space. We end off by giving a semi-qualitative account of the Hawking radiation emitted from a collapsing ball of matter in 2D and black hole evapouration. We will be using the standard metric signature of quantum fie ...
... and thermal Green’s functions derived from the Euclidean analogue of Schwarzschild space. We end off by giving a semi-qualitative account of the Hawking radiation emitted from a collapsing ball of matter in 2D and black hole evapouration. We will be using the standard metric signature of quantum fie ...
PH504lec0910-6
... The capacitor (C) in the circuit diagram is being charged from a supply voltage (Vs) with the current passing through a resistor (R). The voltage across the capacitor (Vc) is initially zero but it increases as the capacitor charges. The capacitor is fully charged when Vc = Vs. The charging current ( ...
... The capacitor (C) in the circuit diagram is being charged from a supply voltage (Vs) with the current passing through a resistor (R). The voltage across the capacitor (Vc) is initially zero but it increases as the capacitor charges. The capacitor is fully charged when Vc = Vs. The charging current ( ...
PH504lec1011-9
... The field due to the upper plane of charge is E1 = +/20 j, x > d/2, E1 = - /20 j, x < d/2. The field due to the lower plane of charge is E2 = /20 j, x < - d/2, E2 = - /20 j, x > -d/2. The total field in the region x < -d/2 is E = E1+E2 = -/20 j +/20 j = 0. Similarly, the total field in t ...
... The field due to the upper plane of charge is E1 = +/20 j, x > d/2, E1 = - /20 j, x < d/2. The field due to the lower plane of charge is E2 = /20 j, x < - d/2, E2 = - /20 j, x > -d/2. The total field in the region x < -d/2 is E = E1+E2 = -/20 j +/20 j = 0. Similarly, the total field in t ...
holiday homework
... 12. Define an electric line of force. 13. Find the number of electrons that constitute one coulomb. 14. Draw electric field lines to represent a uniform electric field. 15. Draw lines of force to represent the electric field due to a (i) positive point charge (ii) negative point charge. 16. Write th ...
... 12. Define an electric line of force. 13. Find the number of electrons that constitute one coulomb. 14. Draw electric field lines to represent a uniform electric field. 15. Draw lines of force to represent the electric field due to a (i) positive point charge (ii) negative point charge. 16. Write th ...
Excitons in parabolic quantum dots in 1 electric and magnetic fields
... of ET(Ro)(figure 5(b), (e)) We interpret this feature as competition between the electric field effect and the confinement. At large R,, the energy ET(R,) decreases. The application of a magnetic field does not change the behaviour of the E,(Ro) curve but increases the energy value. These same trend ...
... of ET(Ro)(figure 5(b), (e)) We interpret this feature as competition between the electric field effect and the confinement. At large R,, the energy ET(R,) decreases. The application of a magnetic field does not change the behaviour of the E,(Ro) curve but increases the energy value. These same trend ...
PH504lec0910-9
... There is one equilibrium position x=0 which is an unstable position. There are no equilibrium positions away from the x-axis. This question has a complication which is easy to miss in that you have to be very careful concerning the signs of the three terms which contribute to the P.E. For example in ...
... There is one equilibrium position x=0 which is an unstable position. There are no equilibrium positions away from the x-axis. This question has a complication which is easy to miss in that you have to be very careful concerning the signs of the three terms which contribute to the P.E. For example in ...
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.