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The Quantum Hall Effect: Novel Excitations and Broken Symmetries
The Quantum Hall Effect: Novel Excitations and Broken Symmetries

A Variational Approach to the Schrödinger–Poisson System
A Variational Approach to the Schrödinger–Poisson System

Get PDF - Physics of Information and Quantum Technologies Group
Get PDF - Physics of Information and Quantum Technologies Group

In the early 1930s, the relativistic electron
In the early 1930s, the relativistic electron

Conclusive Exclusion of Quantum States
Conclusive Exclusion of Quantum States

Probability in the Many-Worlds Interpretation of Quantum Mechanics
Probability in the Many-Worlds Interpretation of Quantum Mechanics

Computation in a Topological Quantum Field Theory
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 ...
An introduction to quantum probability, quantum mechanics, and
An introduction to quantum probability, quantum mechanics, and

IOSR Journal of Applied Physics (IOSR-JAP)
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 ...
Few-Particle Effects in Semiconductor Quantum Dots: Spectrum Calculations on
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 ...
Chapter 2 Quantum mechanics and probability
Chapter 2 Quantum mechanics and probability

LHCC - uniud.it
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 ...
Experiments with single photons
Experiments with single photons

Work extraction and thermodynamics for individual
Work extraction and thermodynamics for individual

Slides - NetCod 2013
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 ...
PPT - Fernando Brandao
PPT - Fernando Brandao

Lecture 17
Lecture 17

Strongly correlated phenomena in cavity QED
Strongly correlated phenomena in cavity QED

Introduction to quantum spin systems
Introduction to quantum spin systems

Measurement-based quantum computation with mechanical oscillators
Measurement-based quantum computation with mechanical oscillators

quantum few-body physics with the configuration interaction
quantum few-body physics with the configuration interaction

Research Article Mathematical Transform of Traveling
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 ...
Spin and uncertainty in the interpretation of quantum mechanics
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) ...
Introduction to quantum statistical thermodynamics by Armen
Introduction to quantum statistical thermodynamics by Armen

Type II InAs/GaAsSb quantum dots: Highly tunable exciton geometry
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 ...
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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.
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