Metallic quantum dots - Chalmers University of Technology
... high activity in many reactions like combustion of hydrocarbons [49], reduction of nitrogen oxide [50], propylene epoxidation [51] and in particular low temperature oxidation of carbon monoxide [5–8, 42, 43, 45–48]. For CO oxidation, the activity has been observed to depend critically on the nanopar ...
... high activity in many reactions like combustion of hydrocarbons [49], reduction of nitrogen oxide [50], propylene epoxidation [51] and in particular low temperature oxidation of carbon monoxide [5–8, 42, 43, 45–48]. For CO oxidation, the activity has been observed to depend critically on the nanopar ...
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... requires auxiliary conditions, related to a more detailed description of the system, for example locality of the transformations of the group in coordinate, momentum, or some other space, i.e., the requirement that the operators of the group have the form ...
... requires auxiliary conditions, related to a more detailed description of the system, for example locality of the transformations of the group in coordinate, momentum, or some other space, i.e., the requirement that the operators of the group have the form ...
Magnetism of the Localized Electrons on the Atom
... The term in parentheses is -l2. Schrödinger’s equation is ! % = E% x The wave function % means that the probability of finding the electron in a small volume dV ar r is %*(r)%(r)dV. (%* is the complex conjugate of %). Eigenfunctions of the Schrödinger equation are of the form %(r,!,") = R(r)&(!)'(") ...
... The term in parentheses is -l2. Schrödinger’s equation is ! % = E% x The wave function % means that the probability of finding the electron in a small volume dV ar r is %*(r)%(r)dV. (%* is the complex conjugate of %). Eigenfunctions of the Schrödinger equation are of the form %(r,!,") = R(r)&(!)'(") ...
Quantum Wires and Quantum Point Contacts
... Structure of spinless edge states in the IQHE regime. (a)-(c) One-electron picture of edge states. (a) Top view on the 2DEG plane near the edge. (b) Adiabatic bending of Landau levels along the increasing potential energy near the edge. (c) Electron density as a function of the distance to the boun ...
... Structure of spinless edge states in the IQHE regime. (a)-(c) One-electron picture of edge states. (a) Top view on the 2DEG plane near the edge. (b) Adiabatic bending of Landau levels along the increasing potential energy near the edge. (c) Electron density as a function of the distance to the boun ...
A critical analysis of the hydrino model
... number n < 1. If such states were allowed by standard quantum mechanics then also the existence of hydrinos would also be possible in the standard theory. However, while solutions of the Schrödinger equation with n < 1 indeed exist, they are not square integrable. This does not only violate one of ...
... number n < 1. If such states were allowed by standard quantum mechanics then also the existence of hydrinos would also be possible in the standard theory. However, while solutions of the Schrödinger equation with n < 1 indeed exist, they are not square integrable. This does not only violate one of ...
Are Quantum States Exponentially Long Vectors?
... in [2] I also created a “relativized world” where NP 6⊂ BQP/qpoly. This means, roughly, that there is no “brute-force” method to solve NP-complete problems in quantum polynomial time, even with the help of quantum advice: any proof that NP ⊂ BQP/qpoly would have to use techniques radically unlike an ...
... in [2] I also created a “relativized world” where NP 6⊂ BQP/qpoly. This means, roughly, that there is no “brute-force” method to solve NP-complete problems in quantum polynomial time, even with the help of quantum advice: any proof that NP ⊂ BQP/qpoly would have to use techniques radically unlike an ...
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.