
Computation in a Topological Quantum Field Theory
... What we have described above is simply a pair of particles such that when one is moved around the other the state vector acquires a phase flip of −1. It follows that these particles can be viewed as anyons with exchange statistics which are a fourth root of unity. Now consider a more general case: a ...
... What we have described above is simply a pair of particles such that when one is moved around the other the state vector acquires a phase flip of −1. It follows that these particles can be viewed as anyons with exchange statistics which are a fourth root of unity. Now consider a more general case: a ...
IOSR Journal of Applied Physics (IOSR-JAP)
... Figure 4. Shows the distributions of the electron states (1s, 2s, 3s, 2p, 3p, 3d) in case of Schrödinger’s wave functions.The corresponding distributions for muonic hydrogen are shown in figure 5 for the same states.In these distributions, we take the reduced mass of muon in place of its mass.Lookin ...
... Figure 4. Shows the distributions of the electron states (1s, 2s, 3s, 2p, 3p, 3d) in case of Schrödinger’s wave functions.The corresponding distributions for muonic hydrogen are shown in figure 5 for the same states.In these distributions, we take the reduced mass of muon in place of its mass.Lookin ...
Few-Particle Effects in Semiconductor Quantum Dots: Spectrum Calculations on
... and thermal properties are determined by the behavior of electrons, but also the structure of crystal and molecules, optical properties are depended on the electronic structure [11]. Free electron To start with, consider the free electron, which is not being attracted by any potential. The p2 , wher ...
... and thermal properties are determined by the behavior of electrons, but also the structure of crystal and molecules, optical properties are depended on the electronic structure [11]. Free electron To start with, consider the free electron, which is not being attracted by any potential. The p2 , wher ...
LHCC - uniud.it
... huge baryon-antibaryon asimmetry in the Universe (NB today 1079!) • For practical purposes, we will assume that baryon and lepton nr are conserved, even if there is no deep theoretical reasons to suppose this conservation rule as absolute. • While total lepton number seems to be conserved, weak tr ...
... huge baryon-antibaryon asimmetry in the Universe (NB today 1079!) • For practical purposes, we will assume that baryon and lepton nr are conserved, even if there is no deep theoretical reasons to suppose this conservation rule as absolute. • While total lepton number seems to be conserved, weak tr ...
Slides - NetCod 2013
... • The butterfly network is classically solvable but not quantumly solvable (in both of the one-shot & asymptotic cases) – optimal quantum rate is achieved by routing – seems to be typical ...
... • The butterfly network is classically solvable but not quantumly solvable (in both of the one-shot & asymptotic cases) – optimal quantum rate is achieved by routing – seems to be typical ...
Research Article Mathematical Transform of Traveling
... incapable of performing the 2 × 2 mapping that is required in this case. Here, it is important to point out that the transform known as the “multidimensional Fourier transform” 3, used extensively in image processing applications, is still a 1 × 1 mapping process. By its definition, the “multidime ...
... incapable of performing the 2 × 2 mapping that is required in this case. Here, it is important to point out that the transform known as the “multidimensional Fourier transform” 3, used extensively in image processing applications, is still a 1 × 1 mapping process. By its definition, the “multidime ...
Spin and uncertainty in the interpretation of quantum mechanics
... to our candidate for the local electron velocity v given by the Pauli current ρv, we eliminate the operators from (2.7), re-expressing it entirely in terms of observables. From Eq. (A34) ...
... to our candidate for the local electron velocity v given by the Pauli current ρv, we eliminate the operators from (2.7), re-expressing it entirely in terms of observables. From Eq. (A34) ...
Type II InAs/GaAsSb quantum dots: Highly tunable exciton geometry
... response to the external field in electro-optical applications. Under these conditions, we find a bias regime where the hole wavefunction winds around the electron one, inducing a large in-plane dipole moment. This comes along with a change in the exciton topology from singly connected to doubly con ...
... response to the external field in electro-optical applications. Under these conditions, we find a bias regime where the hole wavefunction winds around the electron one, inducing a large in-plane dipole moment. This comes along with a change in the exciton topology from singly connected to doubly con ...
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.