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Free Fields, Harmonic Oscillators, and Identical Bosons
Free Fields, Harmonic Oscillators, and Identical Bosons

Optically triggered spin entanglement of electrons
Optically triggered spin entanglement of electrons

Dynamics and Spatial Distribution of Electrons in Quantum Wells at
Dynamics and Spatial Distribution of Electrons in Quantum Wells at

... the bulk. However, for the similar case of a monolayer of cyclohexane (C6 H12 ) on Ag(111), the lifetimes of the n ­ 1, 2, and 3 states are 200, 220, and 660 fs. According to our measurements, the work function of XeyAg(111) is 30 meV lower than the value of 4.09 eV measured for cyclohexane on the s ...
Lecture 6: QUANTUM CIRCUITS 1. Simple Quantum Circuits We`ve
Lecture 6: QUANTUM CIRCUITS 1. Simple Quantum Circuits We`ve

... like take about a hundred million centuries to transmit this information down a single channel. So, I leave funny stories for beaming action heroes around the Universe to video, and restrict myself only to the consideration of a small-scale teleportation prototype capable of teleporting a single qub ...
Properties of higher-order Trotter formulas
Properties of higher-order Trotter formulas

Electron Configuration
Electron Configuration

Quantum Dot Single Photon Sources Quantum Dots
Quantum Dot Single Photon Sources Quantum Dots

Lecture 18
Lecture 18

1 Uncertainty principle and position operator in standard theory
1 Uncertainty principle and position operator in standard theory

AJP Journal
AJP Journal

Rdg: Electron Configuration
Rdg: Electron Configuration

A spectral theoretic approach to quantum
A spectral theoretic approach to quantum

... • In fact, we prove that H is integrable in a stronger sense: it is equivalent (via change of orthonormal basis) to an integrable, canonically quantized, smooth classical ndimensional Hamiltonian over , set into Birkhoff’s normal form. Thus, in this basis we have separation of variables in the sense ...
The Kinetic Theory of Gases (2)
The Kinetic Theory of Gases (2)

Electronic Structure of Multi-Electron Quantum Dots
Electronic Structure of Multi-Electron Quantum Dots

... e = 13.1 e0 , where me is the electron mass and e0 is the vacuum permittivity). In[7]:= ...
Metric fluctuations and decoherence
Metric fluctuations and decoherence

... We show that beside a modification of the inertial mass followed by a violation of the weak equivalence principle, the spacetime fluctuations also will lead to an effective decoherence of a quantum system. Quantum gravity induced decoherence of quantum systems has been considered in [12, 13]. Decohe ...
Topological Quantum Computation from non-abelian anyons
Topological Quantum Computation from non-abelian anyons

... In 2+1 dimensions, the statistics comes from behavior under braiding. Each particle traces out a worldline in time, and these braid around each other. ...
V. Time Dependence A. Energy Eigenstates Are Stationary States
V. Time Dependence A. Energy Eigenstates Are Stationary States

GIANT DIPOLE OSCILLATIONS AND IONIZATION OF HEAVY
GIANT DIPOLE OSCILLATIONS AND IONIZATION OF HEAVY

Slide 1
Slide 1

... • In D=1 quantum fluctuations destroy long range order. • Spin-spin correlation falls off as a power law. • Ground state is a singlet with total spin Stot=0 (exactly found using Bethe ansatz). ...
Experimental Observation of Impossible-to
Experimental Observation of Impossible-to

Solving Schrödinger`s equation around a desired energy
Solving Schrödinger`s equation around a desired energy

The non-equilibrium Green`s function method
The non-equilibrium Green`s function method

Bose-Einstein spin condensates: revisiting the Einstein
Bose-Einstein spin condensates: revisiting the Einstein

Living in a Quantum World
Living in a Quantum World

Decoherence in Excited Atoms by Low-Energy Scattering
Decoherence in Excited Atoms by Low-Energy Scattering

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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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