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Three-sublattice order in the SU (3) Heisenberg model on the
Three-sublattice order in the SU (3) Heisenberg model on the

... question if the three-sublattice order is stable upon including higher-order quantum fluctuations, or if in this case another state is selected. An example of such a scenario has recently been observed in the SU(4) Heisenberg model on the square lattice,24 where low-order quantum fluctuations select ...
Overview of Quantum Computing
Overview of Quantum Computing

Discrete Transformations: Parity
Discrete Transformations: Parity

... Very few particles are eigenstates of the charge conjugation operator C For strong interactions, can extend C by combining it with an isospin transformation: Rotation of 180º about I2 (R2) takes I3 into –I3, for example R2 π+ Æ πCombining C and R2 operations: CR2 π+ Æ π+ All mesons composed only of ...
Polynomial-Time Algorithms for Prime Factorization and Discrete
Polynomial-Time Algorithms for Prime Factorization and Discrete

Chapter 28: Quantum Physics
Chapter 28: Quantum Physics

as PDF
as PDF

... In our view the Lewis model – at its simple level without reference to any form of mechanics – is valid and useful. The difficulties start when one tries to interpret the bonding mechanisms identified by Lewis in more mechanical terms. The ionic bonding mechanism lends itself readily to a mechanical ...
superconducting qubits solid state qubits
superconducting qubits solid state qubits

... “Scalable physical system with well-characterized qubits” The qubits are microfabricated devices, just like the superconducting qubits are. Image courtesy of Charlie Marcus ...
Real-time evolution for weak interaction quenches in quantum systems
Real-time evolution for weak interaction quenches in quantum systems

Do You Need to Believe in Orbitals to Use Them - Philsci
Do You Need to Believe in Orbitals to Use Them - Philsci

... Knowledge of this electron density also allows us to develop the familiar contours wherein it is, for example, 95% likely that the electron would be found upon measurement of its position. For atoms with more than one electron the situation is not so simple. In order to determine the wave-function f ...
Paper
Paper

Codes and designs for quantum error correction
Codes and designs for quantum error correction

Lecture Notes for the 2014 HEP Summer School for Experimental
Lecture Notes for the 2014 HEP Summer School for Experimental

Quantum States of Neutrons in the Gravitational Field
Quantum States of Neutrons in the Gravitational Field

Calculation of Resonance Energy Transfer in Crowded Biological
Calculation of Resonance Energy Transfer in Crowded Biological

... lifetime are exact, assuming several mild conditions are met. First, the number of fluorophores in the excited state at any given time must be small compared to the total number of fluorophores. In this case, there will be no competition between donors for transfer to a given acceptor, and all accep ...
Topological Quantum: Lecture Notes
Topological Quantum: Lecture Notes

... The Kauffman invariant was actually invented by V. Jones who won the Fields medal for his work on knot theory. Kauffman explained his work in very simple terms. Kauffman also wrote a very nice book ”Knots and Physics” which I recommend. 1 A few pieces of fine print here. (1) I am not precise about k ...
Stability of quantum-dot excited-state laser - diss.fu
Stability of quantum-dot excited-state laser - diss.fu

@let@token Polarized Ensembles of Random Quantum States
@let@token Polarized Ensembles of Random Quantum States

III. Spin and orbital angular momentum
III. Spin and orbital angular momentum

Wigner functions - Statistical Physics and Theory of Chaos
Wigner functions - Statistical Physics and Theory of Chaos

Maritime Applications of Quantum Computation
Maritime Applications of Quantum Computation

Density Functional Theory for Systems with Electronic Edges
Density Functional Theory for Systems with Electronic Edges

Some insights on theoretical reaction dynamics: Use
Some insights on theoretical reaction dynamics: Use

... In the following article, a quite careful description is given on the search for optimum convergence parameters. The reason for this is the system's sensitivity to small variations of the main parameters. Thus, the convergence process was checked on the J = 0 reaction probability using not a small s ...
1 Path Integrals and Their Application to Dissipative Quantum Systems
1 Path Integrals and Their Application to Dissipative Quantum Systems

Understanding degenerate ground states of a protected
Understanding degenerate ground states of a protected

Intensified antibunching via feedback
Intensified antibunching via feedback

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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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