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High performance quantum computing
High performance quantum computing

Chaos, Quantum-transactions and Consciousness
Chaos, Quantum-transactions and Consciousness

... Abstract: The nature of subjective conscious experience, and its consequences in intentionality, remain the central unsolved problem in science and one of critical importance to humanity’s future as sentient observers and autonomous participants in a world history we are coming to have ever more piv ...
Trapping and Cooling Fermionic Atoms into Mott and - IPhT
Trapping and Cooling Fermionic Atoms into Mott and - IPhT

Surrey seminar on CQP - School of Computing Science
Surrey seminar on CQP - School of Computing Science

Relativistic nucleus-nucleus collisions, Transverse mass, Effective
Relativistic nucleus-nucleus collisions, Transverse mass, Effective

Working Group "Young DPG" Arbeitsgruppe junge DPG (AGjDPG
Working Group "Young DPG" Arbeitsgruppe junge DPG (AGjDPG

CFD of an RCM
CFD of an RCM

... Translational partition function, qtrs In classical mechanics, all kinetic energies are allowed in a system of monatomic gas particles at a fixed volume V and temperature T. Quantum restrictions place limits on the actual kinetic energies that are found. To determine the partition function for such ...
Representation of Quantum Field Theory by Elementary Quantum
Representation of Quantum Field Theory by Elementary Quantum

Quantum Darwinism as a Darwinian process - Non
Quantum Darwinism as a Darwinian process - Non

... Adaptive systems, by this definition, contain a good deal of internal machinery. They are complex, low entropy structures. The primary outcome of environmental interactions that any adaptive system must achieve in order for it to be an optimal encounter is to retain its low entropy structure, to sur ...
A quantum delayed choice experiment
A quantum delayed choice experiment

Exact and Effective Pair-Wise Potential for Protein-Ligand Interactions Obtained from a Semiempirical Energy Partition
Exact and Effective Pair-Wise Potential for Protein-Ligand Interactions Obtained from a Semiempirical Energy Partition

... good approximation for evaluating the nonbonding protein-ligand interactions, because they are usually designed to treat the QM effects in an average manner. For this purpose, QM methods have been currently used to parameterize force fields [3-7] and scoring functions [8]. This has enabled computati ...
Photosynthesis - Quantum Condensed Matter Research Group
Photosynthesis - Quantum Condensed Matter Research Group

H - Quantum Condensed Matter Research Group
H - Quantum Condensed Matter Research Group

Spintronics and Quantum Dots for Quantum Computing and
Spintronics and Quantum Dots for Quantum Computing and

... seen in these investigations are almost completely irrelevant to the spin coherence times which are important in our quantum computer proposal. There is some relation between the two if there are strong spin-orbit effects, but our intention is that conditions and materials should be chosen such that ...
tsuchiya
tsuchiya

Spinless composite fermions in an ultrahigh
Spinless composite fermions in an ultrahigh

Classical/Quantum Dynamics in a Uniform Gravitational Field: B
Classical/Quantum Dynamics in a Uniform Gravitational Field: B

Four-photon orbital angular momentum entanglement
Four-photon orbital angular momentum entanglement

Quantum information theory: Results and open
Quantum information theory: Results and open

Research Statement
Research Statement

Quantum Clustering Algorithms - The International Machine
Quantum Clustering Algorithms - The International Machine

Quantum Phenomena Modeled by Interactions between Many
Quantum Phenomena Modeled by Interactions between Many

... perspective of the dBB interpretation of quantum mechanics, and, hence, start with a brief review of the latter. We regard the MIW approach as fundamental, but to show that it should (in an appropriate limit) reproduce the predictions of orthodox quantum mechanics, it is convenient to build up to it ...
Pauli`s Principle in Probe Microscopy
Pauli`s Principle in Probe Microscopy

arXiv:0905.2946v1 [cond-mat.str-el] 18 May 2009
arXiv:0905.2946v1 [cond-mat.str-el] 18 May 2009

Hagedorn: Molecular Propagation through Crossings and Avoided
Hagedorn: Molecular Propagation through Crossings and Avoided

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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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