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dilation theorems for completely positive maps and map
dilation theorems for completely positive maps and map

- Philsci
- Philsci

... any part of classical physics, would be able to issue in physical predictions about actual physical states of affairs entirely independently of measurement. Such a theory would be able to predict and explain macroscopic, quasi-classical phenomena as arising from the quantum field alone, without call ...
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... and always true respectively. Moreover, an observable B commutes with A if and only if B commutes with all Aa. We already mentioned that Generalized Quantum Theory is rich enough to encompass the notions of complementarity and entanglement. For complementary observables A and B with AB ¹ BA, the ord ...
Optimization Of Simulations And Activities For A  New Introductory Quantum Mechanics Curriculum Antje Kohnle, Charles Baily, Christopher Hooley, Bruce Torrance  School of Physics and Astronomy, University of St. Andrews, Scotland, United Kingdom
Optimization Of Simulations And Activities For A  New Introductory Quantum Mechanics Curriculum Antje Kohnle, Charles Baily, Christopher Hooley, Bruce Torrance  School of Physics and Astronomy, University of St. Andrews, Scotland, United Kingdom

... (quantumphysics.iop.org) consists of online texts and interactive simulations with accompanying activities for an introductory course in quantum mechanics starting from two‐level systems. This approach immediately immerses students in the concepts of quantum mechanics by focusing on experiments that ...
Axion-like particle production in a laser
Axion-like particle production in a laser

... The time η0 is defined such that Nk (η0 ) = 0. The quantum Vlasov equation, eq. (2), is formally similar to the one obtained by Kluger et al. [29] for bosonic pair production in flat spacetime under an oscillating electron field. However, in our case, it has been specialized such that there is no ex ...
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String theory as a Lilliputian world

... particle and use a hypercubic D-dimensional lattice if the wordsheet of the string lived in D-dimensional spacetime, the worldsheet being a connected plaquette lattice surface [1]. The Nambu-Goto action, the area of the worldsheet, would then be the number of worldsheet plaquettes times a2ℓ , aℓ aga ...
One Hundred Years of Quantum Physics By Daniel
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Topological Quantum Computing
Topological Quantum Computing

... while not requiring each one be returned to its initial position. In 3+1 dimensions, denoting 3 spatial dimensions and a time dimension, the set of all homotopy classes of these world lines as described above has the group structure of Sn , the permutation group on n letters. We can see from the abo ...
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String Theory as a Theory of Quantum Gravity
String Theory as a Theory of Quantum Gravity

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... of filters F1 , . . . , Fn . Particles that pass through all the filters enter a detection device at the right of Fn . In general, the order of placement of the filters makes a difference. For example, let F1 , F2 , F3 be polarizing filters in planes perpendicular to the particle beam, where F1 pola ...
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... two meanings of ‘orbital’ is not mathematical but belongs to the conceptual level. Moreover, difficulties do not depend on the shortcomings of the electron configuration model, arising in many-electron systems (see Mulder 2010): the discontinuity is present already in the hydrogen atom, since it is ...
VALIDITY OF SEMICLASSICAL GRAVITY
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Quantum Mechanics from Classical Statistics
Quantum Mechanics from Classical Statistics

... point wise multiplication of classical observables on the level of classical states classical correlation depends on probability distribution for the atom and its environment not available on level of probabilistic observables definition depends on details of classical observables , while many diffe ...
quantum mechanics from classical statistics
quantum mechanics from classical statistics

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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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