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A Post Processing Method for Quantum Prime Factorization
A Post Processing Method for Quantum Prime Factorization

... the satisfaction of (1) and if all the results was failed I retry with another guessing of random variable x. Therefore the post processing phase that concern with the estimation of period had been taken a long time. For this reason I applied Randomized Approach for guessing the period. My opinion w ...
Energy absorption by “sparse” systems: beyond linear response theory Doron Cohen
Energy absorption by “sparse” systems: beyond linear response theory Doron Cohen

... The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the “sparsity” of the perturbation matrix, a resistor network picture of transitions between energy levels is essential. The Kubo formula is modified, r ...
Q 18.1–18.7 - DPG
Q 18.1–18.7 - DPG

... setup to study aspects of collective behavior over a wide range of coupling parameters. We show that this fundamental setup can distinctly exceed the free-space superradiant behavior, what we call hyperradiance. The phenomenon is accompanied by strong quantum fluctuations and thus cannot be describe ...
pptx - Harvard Condensed Matter Theory group
pptx - Harvard Condensed Matter Theory group

On the role of the electron-electron interaction in two-dimensional
On the role of the electron-electron interaction in two-dimensional

... good convergence only feasible for even fewer particles [36]. The different varieties of the quantum Monte Carlo methods are very powerful and yield virtually exact results. However, only the state with the lowest energy for each given symmetry is easily obtained and there is no straightforward way ...
- New England Complex Systems Institute
- New England Complex Systems Institute

15 The Quantum Atom
15 The Quantum Atom

Fractional Quantum Hall States of Dirac Electrons in Graphene
Fractional Quantum Hall States of Dirac Electrons in Graphene

Quantum Chaos and Quantum Information
Quantum Chaos and Quantum Information

The Theorem of Ostrogradsky
The Theorem of Ostrogradsky

LAUDISA, Counterfactual reasoning, realism and QM_last version
LAUDISA, Counterfactual reasoning, realism and QM_last version

... Let us suppose (Figure 2) first we have a box with a particle in it (i). Let us suppose then that we realize a partition (ii) into two different boxes – that we call A and B – that we move to regions that are far separated from each other (iii). According to quantum mechanics, the state of the syste ...
Future Directions in Quantum Information
Future Directions in Quantum Information

Population Inversion in a Single InGaAs Quantum Dot Using
Population Inversion in a Single InGaAs Quantum Dot Using

... uses this to switch the system from the ground state to the excited state as shown in Fig. 1(b). For ARP to operate, the quantum dynamics during the interaction with the field must not be interrupted by random events leading to dephasing of the coherent superposition of the ground and excited states ...
Fermi accelerator in atom optics
Fermi accelerator in atom optics

... collisions with moving magnetic fields that accelerate cosmic rays. Since then many models associated with the name of Fermi accelerator describing particles colliding with moving walls have been investigated theoretically @2–6#. The recent experiment @7# on atoms bouncing off a modulated atomic mir ...
Electronic states in quantum dot atoms and molecules
Electronic states in quantum dot atoms and molecules

Section 7.5 Quantum Mechanics and the Atom
Section 7.5 Quantum Mechanics and the Atom

domenico.pdf
domenico.pdf

the square root of not - bit
the square root of not - bit

Optically polarized atoms_ch_2_old
Optically polarized atoms_ch_2_old

How Stands Collapse II
How Stands Collapse II

QUANTUM MEASURES and INTEGRALS
QUANTUM MEASURES and INTEGRALS

... considerable amount of literature has been devoted to this subject [1, 3, 5, 9, 10, 13, 15] and more recently a quantum integral has been introduced [6, 7]. At first sight this theory appears to be quite specialized and its applicability has been restricted to the investigation of quantum histories ...
Quantum random walks – new method for designing quantum
Quantum random walks – new method for designing quantum

Theoretical Chemistry
Theoretical Chemistry

Free Will Theorem
Free Will Theorem

A. Is the wave function a description of the physical world?
A. Is the wave function a description of the physical world?

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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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