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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 ...
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 ...
Flow of zero-point energy and exploration of phase space in
Flow of zero-point energy and exploration of phase space in

... an Ohmic bath, detailed numerical studies are presented. In particular, it is shown, that the ZPE problem indeed vanishes, if the quantum correction g is chosen according to the criteria established in Paper I. Moreover, the complete time evolution of the classical simulations is found to be in good ...
Theoretical modeling of x-ray and vibrational spectroscopies applied to liquid
Theoretical modeling of x-ray and vibrational spectroscopies applied to liquid

Axiomatic description of mixed states from Selinger`s CPM
Axiomatic description of mixed states from Selinger`s CPM

Chapter 13 Radioactive Decay
Chapter 13 Radioactive Decay

Experimental one-way quantum computing
Experimental one-way quantum computing

Quantum Cohomology via Vicious and Osculating Walkers
Quantum Cohomology via Vicious and Osculating Walkers

Aspects of the Quantum Hall Effect
Aspects of the Quantum Hall Effect

... as von Klitzing’s group, in extremely clean gallium arsenide (GaAs) heterostructures [109]. They found, in addition to the integer plateaus, additional steps in the Hall resistance at fractional values of the filling factor, at ν = 13 , 51 and so on. The theoretical obstacle to explaining these feat ...
Eigenstate Phase Transitions
Eigenstate Phase Transitions

... Phase transitions are one of the most exciting physical phenomena ever discovered. The understanding of phase transitions has long been of interest. Recently eigenstate phase transitions have been discovered and studied; they are drastically different from traditional thermal phase transitions. In e ...
Tree Search and Quantum Computation
Tree Search and Quantum Computation

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Extremal properties of the variance and the quantum Fisher

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Many Body Physics
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The Need for Structure in Quantum Speedups

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Spin-entangled electrons - Theoretical Physics at University of

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PDF

... apparently purely qualitative—structures of compact closure and biproducts there emerge scalars and a Born rule. One of our main concerns is to replace ad hoc calculations with bras and kets, normalizing constants, unitary matrices etc. by conceptual definitions and proofs. This allows general under ...
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Three Dimensional Dirac Semimetal and Quantum Transports in

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Efficient generation of a maximally entangled state by

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Universal diffraction of atoms and molecules from a quantum

Quantum Computation: a Tutorial
Quantum Computation: a Tutorial

... |00i, thus measuring the second qubit yields 0 with probability 1. In the latter, the state of the system is |11i, and measuring the second quantum bit yields 1 with probability 1. One can form a basis for C2 ⊗ C2 out of entangled states. For example, an often used basis is the following set of orth ...
Nature template - PC Word 97
Nature template - PC Word 97

... of duration T during which a large number of tunnelling events are counted. The timetrace is divided into a large number N of time segments of length t . From the number of electrons counted in each time segment we find the probability distribution Pn from which the cumulants as functions of measure ...
Theory and experimental verification of Kapitza-Dirac-Talbot
Theory and experimental verification of Kapitza-Dirac-Talbot

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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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