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At what time does a quantum experiment have a result?
At what time does a quantum experiment have a result?

... picture, the system state remains constant while the observables vary with time, which means that to measure A at time t we must choose At = Ut† AUt from a whole family of time-indexed observables (each self-adjoint), each of which measures A. This choice matters: in general, At and At0 will have d ...
Quantum Dot Computing Gates
Quantum Dot Computing Gates

Title Goes Here
Title Goes Here

... peaks of trions and excitons observed at V g = 0 – 0.15V are beyond explanation of this free-particle model. In other words, we need to take into account Coulomb interactions between conduction electrons and a valence hole to explain these bound complexes. In 1D systems, Coulomb interactions, or exc ...
Quantum Interaction Approach in Cognition, Artificial Intelligence
Quantum Interaction Approach in Cognition, Artificial Intelligence

... their role in cognition, knowledge representation and information retrieval in a forthcoming paper [35]. In the present paper we instead focus on the application of quantum structures to semantic analysis, artificial intelligence and robotics. More specifically, we summarize in Sec. II the main resu ...
Heisenberg`s original derivation of the uncertainty principle and its
Heisenberg`s original derivation of the uncertainty principle and its

the computational complexity of noncommutative graphs.
the computational complexity of noncommutative graphs.

Document
Document

... universally made that the aboriginal living entity was heterotropic and thus utilized chemical and/or thermal energy. Solutions to the origin of the first polypeptide with catalytic activity, on the other hand, have involved autocatalytic hypotheses, following N. H. Horowitz (9). For Blum (4), the a ...
A Review and Prospects of Quantum Teleportation
A Review and Prospects of Quantum Teleportation

... about a quantum system. About the nature of entangled quantum states, Schrödinger [8]-[11] stated that, “The whole is in a definite state, the parts taken individually are not.” This statement defines the essence of pure-state entanglement. Bell [13] later solved the EPR dilemma by deriving correlat ...
Self-assembled quantum dots
Self-assembled quantum dots

... Fig.5.2 Schematics illustrating bond lengths alignment for an epitaxially deposited layer of lattice mismatch materials. For a combination of materials with a substantial lattice mismatch, in the process of StranskyKranstanov growth, the first deposited layer (so called wetting layer) adopts its in ...
Consistent thermostatistics forbids negative absolute temperatures
Consistent thermostatistics forbids negative absolute temperatures

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A Brief Review on Quantum Bit Commitment
A Brief Review on Quantum Bit Commitment

... The results obtained are according to theory in (1) and (2), since in the ideal case (where there is no optical noise, p = 0), when the measurements are performed in equal bases the success rates (given by p0 (1|1) and p1 (0|0)) should be 100%, while for measurements in different bases (given by p0 ...
Quantum Relaxation after a Quench in Systems with Boundaries Ferenc Iglo´i *
Quantum Relaxation after a Quench in Systems with Boundaries Ferenc Iglo´i *

... have focused on bulk sites up to now, but all real systems have a finite extent and they are bounded by surfaces and the physical properties in the surface region are considerably different from those in the bulk [18]. Obviously an interesting question is whether the time and length scales character ...
Finite Element Method for Finite-Size Scaling in Quantum Mechanics
Finite Element Method for Finite-Size Scaling in Quantum Mechanics

Probabilistic instantaneous quantum computation
Probabilistic instantaneous quantum computation

indistinguishability - University of Oxford
indistinguishability - University of Oxford

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PDF

... Single-Photon Event Model ...
Elementary Quantum Mechanics
Elementary Quantum Mechanics

Continuous Quantum Phase Transitions
Continuous Quantum Phase Transitions

Quantum weakest preconditions
Quantum weakest preconditions

... role of state is played by distributions. There are, of course, states as before but, though in a particular execution there is only one state at every stage, in order to describe all the possible outcomes (and their relative probabilities) one keeps track of the probability distribution over the st ...
Gravitational quantum states of antihydrogen atoms as a tool for
Gravitational quantum states of antihydrogen atoms as a tool for

Finding a Better-than-Classical Quantum AND/OR Algorithm using
Finding a Better-than-Classical Quantum AND/OR Algorithm using

Polarized Light and Quantum Mechanics: An Optical
Polarized Light and Quantum Mechanics: An Optical

Statistical mechanics - University of Guelph Physics
Statistical mechanics - University of Guelph Physics

Quantum connection and Poincare19 e--Cartan form
Quantum connection and Poincare19 e--Cartan form

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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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