[PDF] Top 20 Galois and Class Field Theory for Quantum Chemists
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Galois and Class Field Theory for Quantum Chemists
... the Galois theory provides the quantum system with another sort of symmetry, as we have seen ...extended field. Note that the quantum states, exchangeable by the Galois theoretic ... See full document
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Extension fields and Galois Theory
... coding theory, many codes are Constructed as subspaces of vector spaces over finite fields ...geometry. Galois Theory uses groups to describe the symmetric of the root of ...The theory being ... See full document
7
Constraints on Cosmology and Quantum Gravity from Quantum Mechanics and Quantum Field Theory
... Quantum variables are not equivalent to classical stochastic variables. They can be related by the appearance of measurement-induced fluctuations, which require entropy generation, decoherence, and branching of ... See full document
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Straub, Ann-Kathrin (2017): Applications of gauge/gravity duality: systems close to & far from equilibrium. Dissertation, LMU München: Fakultät für Physik
... matter theory’. This field of application started with the holographic realisation of a superconductor ...local quantum criticality in the infrared (IR), which refers to an emergent scale invariance ... See full document
176
Probabilities and signalling in quantum field theory
... We present an approach to computing probabilities in quantum field theory for a wide class of source–detector models. The approach works directly with probabilities and not with squared matrix ... See full document
23
Primitive ontology and quantum field theory
... classical field in terms of what can be interpreted as parti- cle annihilation and creation operators (resulting from an appropriate Fourier ...such quantum superpositions is precisely the aim of defining a ... See full document
8
Topics in Topological and Holomorphic Quantum Field Theory
... 3d theory on an interval and study the category of branes in the resulting 2d ...gauge field A and the 1-form φ, the fermionic ones are the 0-form η − i η, the 1-form ˜ ψ + i ψ ˜ and the 2-form ...the ... See full document
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Group field cosmology : a cosmological field theory of quantum geometry
... loop quantum gravity, one often resorts to a minisuperspace model, loop quantum cosmology (LQC), where degrees of freedom are drasti- cally reduced [17, ...scalar field, the classical and ... See full document
15
The Philosophy of Quantum Field Theory
... all field theories, rather than anything specific to ...“formal field theories”—polynomial functions of field variables, which may be naturally interpreted as equations of motion or Lagrangian or ... See full document
23
A Cohomological Perspective on Algebraic Quantum Field Theory
... To first order, a deformation of a QFT model is described by a Hochschild co- homology class. A deformation could, for example, correspond to adding an in- teraction term to a Lagrangian. The cohomology ... See full document
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High field quantum transport theory in semiconductors
... general quantum transport equations for the one-electron and one-phonon Wigner distributions appropriate to a model Hamiltonian ...the quantum nature of transport: the particle wavepackets as represented by ... See full document
273
Transaction and Non Locality in Quantum Field Theory
... The reading of QM which best fits this approach is the new transactional theory [5]. Its first version, owed to Cramer [6], regarded the non-local connection as a handshaking between anticipated and delayed ... See full document
7
Universal properties of the entanglement entropy in quantum integrable models
... a quantum field theory, nonethe- less it has played a central role in the study of critical many-body ...the theory with a symmetry under global conformal ... See full document
211
Homotopy quantum field theory and quantum groups
... Homotopy quantum field theories (HQFTs) were introduced by Turaev, and they are essentially TQFTs in a background space X, up to homotopy. A modified version with change to one of the axioms was introduced ... See full document
200
Theory of relativity and quantum mechanics as complementary parts of a unitary theory
... a quantum particle, and of other quantum particles always present in the realistic ...gravitational field considered for the Schwarzschild solution, leading to a penetrability of the boundary of a ... See full document
16
Working directly with probabilities in quantum field theory
... The utility of scattering-matrix theory has biased the development of techniques in quantum field theory towards the calculation of transition amplitudes . However, isolated transition amplitudes are ... See full document
9
Unified field theory for electromagnetic and gravity fields with the introduction of quantized space–time and zero-point energy
... 33 is result of the collapses of a τ-particle or of a μ-particle, we have now succeeded in giving the reason why leptons have 3-generations. The above implies that the concepts of quantized space–times in terms of ... See full document
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... with Galois group isomorphic to G. This is the inverse Galois problem and the solution is closely related to properties of the base field F ... See full document
128
Superselection Rules
... The ubiquitous mechanism of decoherence effectively restricts the local verifica- tion of coherences [10]. For example, scattering of light on a particle undergo- ing a two-slit experiment delocalises the relative-phase ... See full document
10
On Galois 2-extensions of the Dihedral Group.
... Under the operations b and K , quadratic forms over a field F become a commu- tative semiring, which we denote by M p F q . We say that M p F q is a semiring since not all quadratic forms have additive inverses. ... See full document
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