Laser Molecular Spectroscopy CHE466 Fall 2007
... fact that a molecule contains more than one electron that is somehow shared at different extents by a set of nuclei. In addition, the interaction between electrons is difficult to represent. These problems translate in our inability to solve the Schrodinger equation exactly for a molecule. Furthermo ...
... fact that a molecule contains more than one electron that is somehow shared at different extents by a set of nuclei. In addition, the interaction between electrons is difficult to represent. These problems translate in our inability to solve the Schrodinger equation exactly for a molecule. Furthermo ...
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... 7-31. Assuming the electron to be a classical particle, a sphere of radius 10-15 m and a uniform mass density, use the magnitude of the spin angular momentum | S | = [s (s+1)]1/2 ħ=(3/4)1/2 ħ to compute the speed of rotation at the electron’s equator. How does your result compare with the speed of ...
... 7-31. Assuming the electron to be a classical particle, a sphere of radius 10-15 m and a uniform mass density, use the magnitude of the spin angular momentum | S | = [s (s+1)]1/2 ħ=(3/4)1/2 ħ to compute the speed of rotation at the electron’s equator. How does your result compare with the speed of ...
quantum mechanics from classical statistics
... L1 : bit 1 , L2 : bit 2 L3 : product of two bits expectation values of associated observables related to probabilities to measure the ...
... L1 : bit 1 , L2 : bit 2 L3 : product of two bits expectation values of associated observables related to probabilities to measure the ...
Paper
... predicted value of 6 @4#. This experiment is a clear demonstration of the third-order coherence of a Bose-Einstein condensate. The condensate density was inferred from the number of atoms in the condensate assuming that the density profile is an inverted parabola. The factor a g (2) (0) in Eq. ~2! w ...
... predicted value of 6 @4#. This experiment is a clear demonstration of the third-order coherence of a Bose-Einstein condensate. The condensate density was inferred from the number of atoms in the condensate assuming that the density profile is an inverted parabola. The factor a g (2) (0) in Eq. ~2! w ...
Black hole spectroscopy from Loop Quantum Gravity models
... that compatibility with the existence of large semiclassical black holes implies that the matter sector saturates the holographic bound for a vanishing chemical potential (the number of punctures drops out, in this way, of the list of macroscopic observable quantities). In such a scenario, the entro ...
... that compatibility with the existence of large semiclassical black holes implies that the matter sector saturates the holographic bound for a vanishing chemical potential (the number of punctures drops out, in this way, of the list of macroscopic observable quantities). In such a scenario, the entro ...
Document
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
A mean-field approach to attractive few
... solid state systems, cold atomic gases and so forth. Setting up the mathematical description for these problems can be quite straightforward, but actually solving them is difficult and a source of many open research questions. Broadly speaking, we could say that there are two edge cases that are mos ...
... solid state systems, cold atomic gases and so forth. Setting up the mathematical description for these problems can be quite straightforward, but actually solving them is difficult and a source of many open research questions. Broadly speaking, we could say that there are two edge cases that are mos ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.