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Spooky Mirror Tricks - Max-Planck
Spooky Mirror Tricks - Max-Planck

Jens Hebor, The Standard Conception and as Genuine Quantum
Jens Hebor, The Standard Conception and as Genuine Quantum

... symbols with already well-known physical terms based on representational conventions. The trained physicist therefore understands the use of the mathematical symbols in the context of a specific theory without being involved in any act of interpretation. This he does to the extent that the represent ...
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Slide 1

... “Perhaps […] we need a mathematical theory of quantum automata. […] the quantum state space has far greater capacity than the classical one: […] in the quantum case we get the exponential growth […] the quantum behavior of the system might be much more complex than its ...
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... When we integrated out the quantum fluctuations of the worldsheet we made decomposition X µ = Xclµ + Xqµ , where the parameters L and β refer to the “background” fields Xclµ . In standard quantum field theory we usually have to perform a renormalization of the background field to obtain a finite eff ...
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... with integration over the space of closed 2-forms F satisfying the quantization condition on periods. If we further assume X = R4 , the quantization condition is empty, and the partition function can be written as ...
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... measured the wave function is viewed as being projected onto a random eigenstate (“wave function collapse”). Eigenstates for position are fixed points of the Hamiltonian (operator) after normalization by the corresponding eigenvalue, which is in parallel to our idea of a MIW distributional fixed poi ...
Heisenberg Groups and Noncommutative Fluxes
Heisenberg Groups and Noncommutative Fluxes

... have been well-known for some time in the theory of 3-dimensional Maxwell theory with a Chern-Simons term (see [14] for a recent discussion). Also, similar phenomena appear in the theory of abelian 2-forms in 5-dimensions, ads/cft dual to 4dimensional Maxwell theory [15][16]. Finally, applications o ...
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... § 2 The global quantum duality principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . pag. 7 § 3 General properties of Drinfeld’s functors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . pag. 10 § 4 Drinfeld’s functors on quantum groups . . . . . . . . . . . . ...
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... up the character tables for the irreducible representations of the finite group O. (To simplify the calculation, we’ll assume that inversion symmetry is broken; otherwise we should use Oh , which has twice the number of group elements.) (d) Find a character table for the octahedral group O. It shou ...
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... In many aspects, the carriers of the weak force, W and Z, are like the photon of the electromagnetic force. However, there is one important di↵erence: the W and Z particles are very massive, while the photon is massless. The reason the weak bosons are massive is the same reason all the other particl ...
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Quantum error correcting codes and Weyl commutation relations

... subgroup if for any (a, b), (a′ , b′ ) in S one has ha, b′ i = hb, a′ i. For such a subgroup the Weyl operators W (a, b) and W (a′ , b′ ) commute. Since we can simultaneously diagonalise the family {W (a, b), (a, b) ∈ S} we can express these operators as W (a, b) = diag (λ1 (a, b), λ2 (a, b), . . .) ...
Topological structures in string theory
Topological structures in string theory

... defined by a pair of pants, is a weighted compromise between ordinary pointwise multiplication and convolution with respect to concatenating the loops. To make precise sense of this schematic picture requires all the technology of two-dimensional quantum field theory, but the belief that underlies str ...
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Scalar field theory

In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).
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