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Topological Quantum Computing - Quantum Optics Group at ETH
Topological Quantum Computing - Quantum Optics Group at ETH

Substantiation of Meson mass quantization from phenomenological
Substantiation of Meson mass quantization from phenomenological

... 70MeV spinless quanta Q, which reproduces the pion and the second one is a 330MeV spin ½ quanta S, which reproduces the nucleon. The second quanta is basically a derivate of the original 70 MeV mass quanta. This 70MeV spinless mass quanta of Gregor [3-5] can be undoubtedly derived from the electron ...
The Fractional Quantum Hall Effect, Chern-Simons
The Fractional Quantum Hall Effect, Chern-Simons

... k + c2 where c2 is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group G, normalized such that c2 = N, for G = SU(N). Let Uq(Lie G) denote the usual quantum deformation of the universal enveloping algebra of Lie G with deformation parameter q = exp ìITK [34]. ...
Introduction to Quantum Optics for Cavity QED The semiclassical
Introduction to Quantum Optics for Cavity QED The semiclassical

information - Clay and Iron
information - Clay and Iron

... innermost workings of the brain should really not surprise us at all. Indeed, when compared to such complex considerations as human history, psychology or culture, it is even somehow comforting. The original Hebb Hypothesis, first proposed by Donald Hebb in 1949, is still held to be true. This hypot ...
quantum computer - Caltech Particle Theory
quantum computer - Caltech Particle Theory

... best possible knowledge of a whole does not necessarily include the best possible knowledge of its parts … I would not call that one but rather the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought… By the interaction the two repres ...
Supersymmetric Quantum Mechanics
Supersymmetric Quantum Mechanics

Chapter 3 Magnetism of the Electron
Chapter 3 Magnetism of the Electron

... Magnetic moment of the electron m (in units of Bohr magnetons) associated with the angular momentum (in units of !) can be represented by similar matrices, with g factors of 1 or 2 for orbital or spin moments. The matrix elements of the operators for m and l or s are propoertional. ...
Document
Document

7gsummarysheets
7gsummarysheets

7G Particle Model
7G Particle Model

... A scientific method describes how scientists try to explain the world around them. It usually starts with some observations, which generate a question. Scientists may then follow a series of unbiased steps to answer the questions. These steps could include the following: ● thinking up an idea or usi ...
Quantum Algorithms - UCSB Computer Science
Quantum Algorithms - UCSB Computer Science

... (α 0  β 1 )  You  α 0  You saw a " zero"  β 1  You saw a " one" ...
Chapter 6 Quantum Theory of the Hydrogen Atom
Chapter 6 Quantum Theory of the Hydrogen Atom

... Since Schrödinger's equation is separable in spherical polar coordinates, the three dimensional wave function is =R. The probability density is then defined as P(r,,)   dV  P(r) P() P() dV , where dV is the volume element in spherical polar coordinates: dV  r 2 sin  dr d d . The coor ...
Quantum Monte-Carlo for Non
Quantum Monte-Carlo for Non

... Environment : nucleon motion, other degrees of freedom (deformation…). => Non-Markovian effects are expected. Microscopic evolution can be mapped to an open quantum system. K.Washiyama et al., Phys. Rev. C 79, (2009) ...
Quantum Numbers
Quantum Numbers

... • Classical physics cannot describe the photoelectric effect, i.e., a certain minimum frequency (frequency threshold) is required to eject an electron from a metal and the energy of the ejected electrons does not depend on the intensity of light – Not possible if the light is simply a wave • Einstei ...
Electronic Structure of Multi-Electron Quantum Dots
Electronic Structure of Multi-Electron Quantum Dots

... electrons were not considered numerically viable using the conventional CI formalism, even with state-of-the-art computing facilities. We have recently developed a spin-adapted configuration interaction (SACI) method to study the electronic structure of multi-electron quantum dots [13]. This method ...
Lattice Vibrations & Phonons B BW, Ch. 7 & YC, Ch 3
Lattice Vibrations & Phonons B BW, Ch. 7 & YC, Ch 3

... • This was impossible before the existence of modern computers. • Even with computers it can be computationally intense! • Before computers, Φ(kℓ,kℓ) was usually determined empirically within various models. That is, it’s matrix elements were expressed in terms of parameters which were fit to expe ...
Lecture notes, Chapter 4. Energy Levels
Lecture notes, Chapter 4. Energy Levels

... The simplest system to be analyzed is a particle in a box: classically, in 3D, the particle is stuck inside the box and can never leave. Another classical analogy would be a ball at the bottom of a well so deep that no matter how much kinetic energy the ball possess, it will never be able to exit th ...
PDF
PDF

... enhancement afforded by exploiting entanglement is typical of quantum information processing p and arises from essentially the same source as the M enhancements in quantum search [15] and quantum positioning [16]. The catch is that enacting the necessary Hamiltonian S~ 1...M is likely to prove ...
Exact Wave Function of C=1 Matrix Model in Adjoint Sector
Exact Wave Function of C=1 Matrix Model in Adjoint Sector

... Correspondence between tip of long string and adjoint sector of MQM is established by Maldacena (0503112) and Fidkowski (0506132) by comparing its scattering phase With some simplifying assumption on large N limit of Calogero equation and with fixed background fermion ...
Quantum Physics and NLP
Quantum Physics and NLP

... light is such that it is able to combine these contradictory attributes in a harmonious way. New quantum facts destroy the once sharp distinction between “matter” and “field.” (40) What’s at stake in the quantum reality is not the actual existence of electrons but the manner in which electrons poss ...
Quantum walk as a generalized measuring device
Quantum walk as a generalized measuring device

new physics and the mind paster
new physics and the mind paster

... their operation falls within the range of quantum effects subject to the Heisenberg uncertainty principle. P. 57. Deterministic and Nondeterministic Quantum Phenomena Berkeley physicist Henry P. Stapp proposes another “common mechanism”: calcium ions in neurons. Stapp is of the school that quantum ...
Today`s class: Schrödinger`s Cat Paradox
Today`s class: Schrödinger`s Cat Paradox

... that’s both dead and alive at the same time. •  Schrodinger illustrated a problem with QM: it predicts that cat will be in a superposition state UNTIL WE MEASURE IT, but doesn’t define what it means to make a measurement. In fact, a measurement is any interaction with the environment – intentional o ...
Quantum Wires and Quantum Point Contacts
Quantum Wires and Quantum Point Contacts

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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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