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A quantum logical and geometrical approach to the study of
A quantum logical and geometrical approach to the study of

NON-RELATIVISTIC QUANTUM MECHANICS - Philsci
NON-RELATIVISTIC QUANTUM MECHANICS - Philsci

Fabrication and characterization of single luminescing quantum dots
Fabrication and characterization of single luminescing quantum dots

... lighting and photonics technology, though. Optical transitions, which lead to light emission, are too slow and inefficient and the rather narrow bandgap only supports photon energies in the infrared range. With the development of quantum physics and the advent of nanotechnology it became clear that ...
1 Engineering Entanglement: Quantum Computation, Quantum
1 Engineering Entanglement: Quantum Computation, Quantum

Non-relativistic limit in the 2+ 1 Dirac Oscillator: A Ramsey
Non-relativistic limit in the 2+ 1 Dirac Oscillator: A Ramsey

Atomic orbital
Atomic orbital

PyProp - A Python Framework for Propagating the Time
PyProp - A Python Framework for Propagating the Time

Quantum computation and Shor`s factoring algorithm
Quantum computation and Shor`s factoring algorithm

... restriction at all on computing power. This is an important observation since the model of quantum computation introduced below is automatically reversible. Bennett’s result also shows that the performance of any computation does not require any necessary intrinsic energy dissipation. Remark. The co ...
7 Scattering theory and the S matrix
7 Scattering theory and the S matrix

Towards a Tight Finite Key Analysis for BB84
Towards a Tight Finite Key Analysis for BB84

LAPLACE TRANSFORM AND UNIVERSAL sl2 INVARIANTS
LAPLACE TRANSFORM AND UNIVERSAL sl2 INVARIANTS

... ANNA BELIAKOVA, CHRISTIAN BLANCHET, AND THANG LE Abstract. We develop a Laplace transform method for constructing universal invariants of 3–manifolds. As an application, we recover Habiro’s theory of integer homology 3–spheres and extend it to some classes of rational homology 3–spheres with cyclic ...
Quantum numbers and Angular Momentum Algebra Quantum
Quantum numbers and Angular Momentum Algebra Quantum

Quantum Computation - Bard College at Simon`s Rock
Quantum Computation - Bard College at Simon`s Rock

Dynamical Theories of Brownian Motion
Dynamical Theories of Brownian Motion

POLYNOMIAL-TIME ALGORITHMS FOR PRIME FACTORIZATION
POLYNOMIAL-TIME ALGORITHMS FOR PRIME FACTORIZATION

... Abstract. A digital computer is generally believed to be an ecient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true when quantum mechanics is taken into consid ...
Trajectory-Based Coulomb-Corrected Strong Field
Trajectory-Based Coulomb-Corrected Strong Field

One-way quantum computing with arbitrarily large time
One-way quantum computing with arbitrarily large time

Quantum optics with GeV color center in diamond
Quantum optics with GeV color center in diamond

... Color centers in diamond attract a lot of attention due to unique properties of diamond, such its optical and chemical purity, low concertation of nuclear spins in diamond matrix and also its physical and chemical inertness [1]. Nitrogen vacancy (NV) color centers in diamond is the most studied colo ...
numerical calculation of the ground state energies of the hydrogen
numerical calculation of the ground state energies of the hydrogen

Quantum many-particle electron transport in time-dependent systems with Bohmian trajectories by Alfonso Alarc´
Quantum many-particle electron transport in time-dependent systems with Bohmian trajectories by Alfonso Alarc´

... Thesis supervisor: Xavier Oriols Pladevall Date of defense: April 2011 ...
Paper
Paper

On the Quantum Theory of Line–spectra
On the Quantum Theory of Line–spectra

Construction X for quantum error-correcting codes
Construction X for quantum error-correcting codes

Introduction to ”Topological Geometrodynamics: an Overview
Introduction to ”Topological Geometrodynamics: an Overview

... 5. A further objection is that classical weak fields identified as induced gauge fields are long ranged and should cause large parity breaking effects due to weak interactions. These effects are indeed observed but only in living matter. A possible resolution of problem is implied by the condition t ...
Huge density-dependent blueshift of indirect excitons in biased
Huge density-dependent blueshift of indirect excitons in biased

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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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