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Slide 1
Slide 1

...  Data are sent in weak pulses of photons.  The physical behavior of the particles themselves gives the receiver the encryption key.  If a third party interrupts the data stream, the encryption key is rendered useless and both parties are alerted.  The encryption key isn’t in the message, it is t ...
What do the quantum numbers l and m determine
What do the quantum numbers l and m determine

... Similar l = 2, m = -2, -1, 0, 1, 2 or z2, x2-y2, xz, yz, xy are related but not identical sets of 5 functions. Hydrogen atom is a very simple system which is why it has so many degenerate orbitals. Quantum mechanics of other atoms shows one additional feature. The energy now depends on n and l. For ...
4. Energy, Power, and Photons
4. Energy, Power, and Photons

... we shine light on a piece of metal in a vacuum: 1. The light can cause electrons to be ejected from the metal surface (that’s not so unusual) 2. The energy of these electrons (i.e., their velocity once they leave the metal) does not depend on the light intensity, although the total number of electro ...
Quantum Computing
Quantum Computing

... • Currently, computer chips are filled with gates only fractions of a micron wide • Gates will move to the atomic level • At an atomic level matter obeys different rules – Quantum Mechanics – Allows completely new algorithms – Better than cramming more gates on a chip ...
Course summary for Unit 4 "Interactions of Light and
Course summary for Unit 4 "Interactions of Light and

... Light and matter share particle and wave characteristics - "Particle-Wave Duality". The wavelength is given by  = h/p. But since h is so incredibly small a value, the momentum also has to be incredibly small for an observable wave effect. This is only achieved by the electron, whose momentum is ver ...


... experimental situation described here, the atomic Zeeman shift is smaller than the internal hyperfine structure so it is a very splitting by 2 to 3 orders of magnitude good approximation to regard sodium as an elementary It should also be noted that we have spin 1 particle. verified experimentally t ...
Enhancement of quantum dot peak-spacing fluctuations
Enhancement of quantum dot peak-spacing fluctuations

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Quantum computation communication theory
Quantum computation communication theory

... – So ρ diagonal in n O.K. – “Coherent states” special in that a multimode CS field is equivalent to a single-mode one – Only fixed relative phases between modes essential for homodyne detection • Field expansion (quantum Karhunen-Loeve) ...
Lecture notes, Chapter 4. Energy Levels
Lecture notes, Chapter 4. Energy Levels

Document
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Can nature be q-deformed?
Can nature be q-deformed?

... „ … the introduction of space-time continuum may be considered as contrary to nature in view of the molecular structure […] on a small scale … we must give up … the space-time continuum. … human ingenuity will someday find methods … to proceed such a path.“ (Albert Einstein) ...
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An attempt to a β rays theory Basic assumptions of the theory (1)

Welcome to PHYS 406!
Welcome to PHYS 406!

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- Danielle Hu

... represents the Hamiltonian operator, “Ψ” stands for the wave function, and “E” is the total energy of the system. This equation takes the form of eigenvalue equations where “H” parallels the matrix “A”, “Ψ” represents the eigenvectors “ν”, and “E” equals the eigenvalue “λ.” The Hamiltonian operator ...
Abstract
Abstract

... 2. How to realize quantum memory Proof-of-principle experiments were simultaneously performed by two groups [4,5], where a weak laser pulse was stored in an atomic ensemble and after a while the light pulse whose temporal waveform was similar to the original one was retrieved. These great demonstrat ...
Computational Quantum Chemistry
Computational Quantum Chemistry

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Chain of 1D classical harmonic oscillators

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rutherfords model

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Navit Yahdav - Auburn Engineering
Navit Yahdav - Auburn Engineering

... have been a foundation in physics for a long time into the algorithmic field. Such ideas include: interference, scattering, and group representation theory. Quantum algorithm designers of today take their ideas from physics, mathematics, and chemistry and link them with the already proven methods of ...
Electrons in the Atom
Electrons in the Atom

... quantum mechanics does explain how the atom behaves.  Quantum mechanics treats electrons not as particles, but more as waves (like light waves) which can gain or lose energy.  But they can’t gain or lose just any amount of energy. They gain or lose a “quantum” of energy. A quantum is just an amoun ...
Physics 102: Lecture 24 Heisenberg Uncertainty Principle Physics
Physics 102: Lecture 24 Heisenberg Uncertainty Principle Physics

18. The Light Quantum Hypothesis.
18. The Light Quantum Hypothesis.

quant-ph/0301115 PDF
quant-ph/0301115 PDF

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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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