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MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of
MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of

Chapter 1
Chapter 1

... long   as   the   measurements   are   performed   along   the   same   axis.     In   this   way,   a   spin   measurement  performed  along  the  z-­‐axis  for  just  one  of  the  particles  is  sufficient  for   predicting  with  1 ...
Electron correlation in three-body Coulomb states of barium
Electron correlation in three-body Coulomb states of barium

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Ball of Light Particle Model

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... mechanics almost nothing happens according to our expectations. And that same story goes on. After having shed in this abrupt way some of its energy, the total energy in the translation of the electron of course has decreased. And here is again something strange: the new energy level is not arbitrar ...
A slow-flowing process of initial gravitational condensation of a
A slow-flowing process of initial gravitational condensation of a

Computer Modeling and Simulations in Physics and Astronomy
Computer Modeling and Simulations in Physics and Astronomy

Review for Exam 1
Review for Exam 1

... Also talk about probability of finding electron on spherical shell of thickness dr ar radius r. Interested in spherical shell of volume 4r2dr which is d so the Probability = 4r2 2 dr Since r2 increases with radius from zero at the nucleus and 2 decreases to 0 at infinity. P on the other hand is ...
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... S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. 247, 135 (1996). V. Giovannetti, S. Lloyd, and L. Maccone, PRL 96, 041401 (2006). ...
Chapter 2 Atomic Motion in an Optical Standing Wave
Chapter 2 Atomic Motion in an Optical Standing Wave

The Rydberg series for the doubly excited states of the helium atom
The Rydberg series for the doubly excited states of the helium atom

State Preparation Quantum Optics Quantum Information Theory
State Preparation Quantum Optics Quantum Information Theory

... outgoing state (1 − ξ 2 )|0i + ξ|Ψ− i + O(ξ 2). . . . . . . . . . . . . . III.2 If an optical circuit with feed-forward detection (a) produces a specific state, the same output can be obtained by an optical circuit where detection of the auxiliary modes takes place at the end (b). The efficiency of ...
Optimal frequency measurements with maximally correlated states
Optimal frequency measurements with maximally correlated states

... schemes @5–13# which use nonclassical input states to approach the 1/N Heisenberg limit for large N have been proposed @20#. Examples include the illumination of one of the input ports by a squeezed vacuum @5# where experiment has shown improvement over the shot-noise limit @8#, the use of correlate ...
Interactions and interference in quantum dots : kinks in
Interactions and interference in quantum dots : kinks in

... Coulomb blockade peaks that occur in mesoscopic quantum dots [2,3,4,5]. The electrostatic energy of an additional electron on a quantum dot– an island of confined charge with quantized states– blocks the flow of current through the dot– the Coulomb blockade [6,7]. Current can flow only if two differ ...
Interactions and Interference in Quantum Dots: Kinks in Coulomb
Interactions and Interference in Quantum Dots: Kinks in Coulomb

... Coulomb blockade peaks that occur in mesoscopic quantum dots [2,3,4,5]. The electrostatic energy of an additional electron on a quantum dot– an island of confined charge with quantized states– blocks the flow of current through the dot– the Coulomb blockade [6,7]. Current can flow only if two differ ...
Quantum Numbers, Orbitals, and Probability Patterns
Quantum Numbers, Orbitals, and Probability Patterns

... as the electron moves under various forces. Schrödinger worked out the solutions of his equation for the hydrogen atom, and the results agreed perfectly with the known energy levels for hydrogen. Furthermore, the equation could be applied to more complicated atoms. It was found that Schrodinger’s eq ...
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... 1- Quantum Physics has to be considered for device operation. 2- Technologies based on Quantum Physics could improve the clock-speed of microprocessors, decrease power dissipation & miniaturize more! (e.g. Superconducting processors based on RSFQ, HTMT Technology) Is it possible to do much more? Is ...
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... Note that in this case the probability of finding the particle in one of these momentum eigenstates is not simply |cn |2 = 16π13 L3 . This is because the wavefunction given in Equation 3c is not properly normalized (which also implies that the |cn |2 ’s don’t sum to 1), and indeed cannot be normalize ...
Lecture 9 - Scattering and tunneling for a delta
Lecture 9 - Scattering and tunneling for a delta

A New Form of Matter (pdf, 217 kB)
A New Form of Matter (pdf, 217 kB)

... Technology) and Carl Wieman (University of Colorado) also created BECs; theirs were made of super-cold rubidium atoms. Cornell and Wieman shared the 2001 Nobel Prize with Ketterle "for the achievement of Bose-Einstein condensation in dilute gases of alkali atoms, and for early fundamental studies of ...
Quantum Computing
Quantum Computing

... • Common language between the sciences: math, physics, chemistry, computers… • Thinking of complex problems to solve • Secure communication • Biggest advance yet…changes the way we think of the universe, ie, Schroedinger’s cat ...
On the interpretation of measurement in quantum theory
On the interpretation of measurement in quantum theory

... increased attention during recent years. The various contributions express very different viewpoints, and may roughly be classified as follows: 1. Those emphasizing contradictions obtained when the process of measurement is itself described in terms of quantum theory. ~1~ 2. Those claiming that meas ...
Photoelectric effect
Photoelectric effect

... These pictures contain clear evidence that the electrons are behaving like ordinary classical particles (tiny billiard balls). These pictures also contain clear evidence that that the electrons are behaving like ordinary waves. ...
E = mc2 m = hc λc2 = h λc h λ= mv h λ= mc
E = mc2 m = hc λc2 = h λc h λ= mv h λ= mc



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Wave–particle duality

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