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Geometric Aspects and Neutral Excitations in the Fractional Quantum Hall Effect
Geometric Aspects and Neutral Excitations in the Fractional Quantum Hall Effect

... Most features of the integer quantum Hall effect (IQHE) can be understood in the framework of single particle physics. The energy levels of a two-dimensional electron gas (2DEG) subject to a perpendicular magnetic field form Landau levels (LL), each with macroscopic degeneracy Nφ = BA · he , which i ...
Quantum Mechanical Addition of Angular Momenta and Spin
Quantum Mechanical Addition of Angular Momenta and Spin

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... his book A Dynamical Theory of the Electromagnetic Field. From then on we talk about electromagnetism. Before they were thought of as two different phenomena in Nature. A similar simplification occurs when we try to understand Nature at smaller and smaller scales. At the beginning of the last centur ...
an introduction to quantum mechanics - TU Dortmund
an introduction to quantum mechanics - TU Dortmund

Revealing novel quantum phases in quantum antiferromagnets on
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... the bonds of strength J. In the case 1) of a simple square lattice, the choice J = J 0 reproduces the well-known limit of the two-dimensional quantum Heisenberg antiferromagnet (2DQHAF). In this section we will consider the case of zero applied magnetic field H, while the effects of a finite field w ...
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... We introduce the notion of thermodynamic quantities, such as free energy, energy, (statistical mechanical) entropy, and specific heat, into AIT. We then investigate their properties from the point of view of algorithmic randomness. As a result, we see that, in this statistical mechanical interpretati ...
Is gravitational mass of a composite quantum body equivalent to its
Is gravitational mass of a composite quantum body equivalent to its

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Elementary Introduction to Quantum Field Theory in Curved Spacetime

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Optical and Quantum Communications—J. H. Shapiro, N. C. Wong

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... landscape of general strategies to find codes for other classes of channels is fairly sparse. In particular, the theory lacks a systematic method that applies to arbitrary quantum channels. Indeed, after spending any time at all on this problem, it becomes clear that this is an extremely daunting ch ...
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... particularly promising feature of using superconducting technology is the potential of developing highspeed, on-chip control circuitry with classical, high-speed superconducting electronics. The picosecond time scales of this electronics means that the superconducting qubits scan be controlled rapid ...
Quantum computing: An IBM perspective
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Contradiction of quantum mechanics with local hidden variables for

... macroscopically distinct because there is always a nonzero probability for values of x near zero. Nevertheless we hypothetically consider a situation where the ⫹1 and ⫺1 results of the measurement correspond to macroscopically distinct outcomes, resembling the ‘‘alive’’ and ‘‘dead’’ states of the ‘‘ ...
Closed timelike curves make quantum and classical computing
Closed timelike curves make quantum and classical computing

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A Theoretical Study of Atomic Trimers in the Critical Stability Region
A Theoretical Study of Atomic Trimers in the Critical Stability Region

... can be explored. Some of the knowledge gained from studies of atomic dimers can be generalised to more complex systems. Adding a third atom to an atomic dimer gives a first chance to study how the binding between two atoms is affected by a third. Few-body physics is an intermediate area which helps ...
Universal formalism of Fano resonance
Universal formalism of Fano resonance

Phys. Rev. A 62, 062304
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... classical information, so the density matrix ␳ˆ out actually underestimates the information available about the output field. In particular, a verifier checking the fidelity of the transfer in B can know the exact output state based on the knowledge of the input state and the measurement result ␤ . ...
quantum - Word Format
quantum - Word Format

... use of the quantum mechanical properties of particles to emulate the process of the classical Turing Machine. As a high-level computational model, the classical Turing Machine does not make any assumptions about its physical implementation, and its computation is completely independent of the underl ...
PPT - Fernando GSL Brandao
PPT - Fernando GSL Brandao

Quantum liquid of repulsively bound pairs of particles in a lattice
Quantum liquid of repulsively bound pairs of particles in a lattice

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Cross sections

Unified and Generalized Approach to Quantum Error Correction David Kribs, Raymond Laflamme,
Unified and Generalized Approach to Quantum Error Correction David Kribs, Raymond Laflamme,

... A 0  FixE  f 2 BH  : E  g: This is precisely the reason that A0 may be used to produce NS for unital E. We note that while many of the physical noise models satisfy the unital constraint, there are important nonunital models as well. Below we show how shifting the focus from A0 to FixE ...
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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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