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... At the source the electron is being emitted as particle and is experimentally detected as a electron which is absorbed by an individual atom in the fluorescent plate In between, we must interpret the electron in the form of a wave. The double slits change the propagation of the electron wave so that ...
Kern- und Teilchenphysik I Lecture 10: Dirac Equation II
Kern- und Teilchenphysik I Lecture 10: Dirac Equation II

... «  Since we have a four component spinor, only four are linearly independent §  Could choose to work with or or … §  Natural to use choose +ve energy solutions ...
Laws of Motion
Laws of Motion

... change in a physical system. For example, one can talk about motion of a wave or a quantum particle (or any other field) where the concept location does not apply. Laws of Motion In physics, motion in the universe is described through two sets of apparently contradictory laws of mechanics. Motions o ...
Mechanical Proof of the Second Law of Thermodynamics Based on
Mechanical Proof of the Second Law of Thermodynamics Based on

... and setting h equal to Plank’s constant allows to see that SΦ is a quantized quantity whose possible values are (within the range of validity of the approximation): ...
A New Form of Matter (pdf, 217 kB)
A New Form of Matter (pdf, 217 kB)

... magnetic traps, the atoms overlapped and formed a single giant (by atomic standards) matter wave. Says Ketterle: "Pictures of BECs can be regarded as photographs of wave functions" -- that is, solutions to Schrodinger's equation. Working independently in 1995, Eric Cornell (National Institute of Sta ...
5th Workshop on Quantum Chaos and Localisation Phenomena
5th Workshop on Quantum Chaos and Localisation Phenomena

... a receiver due to time-dependent variations in the propagation of waves from the source, or due to multi-path scattering and interference. It is well known that the quantitative statistical theory of wave chaos – random matrix theory (RMT) – can be successfully applied to predict statistical propert ...
Limits of fractality: Zeno boxes and relativistic particles
Limits of fractality: Zeno boxes and relativistic particles

Affine computation and affine automaton
Affine computation and affine automaton

... and unbounded error, AfAs are more powerful than QFAs and PFAs, and, in the case of nondeterministic computation, AfAs are more powerful than PFAs but equivalent to QFAs. Moreover, we show that exclusive affine languages form a superset of exclusive quantum and stochastic languages. Our results are ...
Lecture note on Solid State Physics de Haas
Lecture note on Solid State Physics de Haas

... A, B, and C correspond to the a-, b-, and c-electron pockets, respectively. The dHvA frequency FF is approximately equal to F3A, and FD and FE coincide with FA + FBC. Note that the b- and c- pockets separate into two branches in the range of the field angles from -48º to -70º, and this might be a re ...
arXiv:1605.02181v1 [quant
arXiv:1605.02181v1 [quant

... object, I claim that the particle had no interaction with this object. But “being near the object” is a classical concept. The quantum particle is described by a quantum wave function, part of which was near the object. The pre-selected photon, the photon which entered the interferometer is present ...
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Pilot_waves_of_de_Broglie

Bohr`s quantum postulate and time in quantum mechanics
Bohr`s quantum postulate and time in quantum mechanics

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Fractional topological ordered phases.

... positions of the particles, their velocities, magnetic moments, and all other attributes describing them in a given system – evolves when one exchanges the positions of two (or more) particles. Ordinary particles usually behave trivially with their quantum states being essentially unaltered under an ...
What is Renormalization? G.Peter Lepage
What is Renormalization? G.Peter Lepage

... together with a regulator that truncates the theory’s state space at some very large Λ0 .(a) The cut-off theory is correct up to errors of Ø(1/Λ20 ). It is worth emphasizing that e0 and m0 are well-defined numbers so long as Λ0 is kept finite; in QED each can be specified to several digits (for any ...
Stark Effect - Physics
Stark Effect - Physics

... It is useful to remove this factor from the matrices hN LM | − eEz|N L − 1M i, along with the factors − 23 eEa0 . The resulting matrices still depend on N but the secular equation for these matrices depends only on the size of the matrices. The results for 1 × 1, 2 × 2, 3 × 3, · · · matrices are: ...
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Optical Properties of Low Dimensional Semiconductor Materials
Optical Properties of Low Dimensional Semiconductor Materials

... about the properties of matter through our eyes and through many different spectroscopies covering all the wavelengths we thus far have developed. For semiconductors, the optical properties are directly related to the electron energy band structure. Starting from the study of band structure, we will ...
Ab-initio Modeling of Cold Gases November 11, 2009
Ab-initio Modeling of Cold Gases November 11, 2009

Quantum Mechanics - Home Page for Richard Fitzpatrick
Quantum Mechanics - Home Page for Richard Fitzpatrick

Entanglement-seeded, dual, optical parametric amplification
Entanglement-seeded, dual, optical parametric amplification

... and for ␪ = ␲ we obtain the N = 4 N00N state 共兩4 , 0典 + 兩0 , 4典兲 / 冑2. As discussed earlier, if this state is used to measure a path-length difference in a Mach-Zehnder interferometer, it achieves a doubling in sensitivity compared to the standard shot-noise limit. Regarding use as a source for quan ...
Spin splitting in open quantum dots and related systems Martin Evaldsson Link¨
Spin splitting in open quantum dots and related systems Martin Evaldsson Link¨

... that “the number of components on chips with the smallest manufacturing costs per component doubles roughly every 12 months”[18]. It has since then been revised and taken on several different meanings. ...
Secure quantum sealed
Secure quantum sealed

... the b particles and c particles. Afterwards to checking the security of the quantum channel, Bob or Charlie, we say Bob, selects randomly a sufficiently large subset of particles from the M groups b particles, which we call the T groups b particles, and he measures each of them using one of the two m ...
A new theory of the origin of cancer
A new theory of the origin of cancer

... determine cell shape, orientation and form. And centrioles have the information storage and processing capacity to record the “blueprints” for a vast number of phenotypes, all possible states of differentiation in a specific organism. The key question in differentiation is how signals/communication ...
10. Integrals of motion - Der Karlsruher Physikkurs
10. Integrals of motion - Der Karlsruher Physikkurs

... substance-like physical quantity. (A quantity is substance-like if a density and a current can be attributed to it.) Some substance-like quantities are conserved, like energy, momentum and electrical charge, and others are not, for instance entropy. Conservation or non-conservation, respectively, is ...
atomic structure
atomic structure

... alpha scattering experiments in 1911.However his model has no experimental evidence. RUTHERFORD’S ATOMIC MODEL: Rutherford (1911) bombarded a thin gold foil with α – particles. It was observed that (a) Most of the α – particles passed undeflected. (b) Very few α – particles underwent small and large ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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