Materias: “…Fermions Mathematical models…”
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Tabla de Contenidos: “…Front Cover; Contents; Introduction; Chapter 1: Motivation; Chapter 2: Quantisation of Fields; Chapter 3: Euler-Lagrange Equations; Chapter 4: Tree-Level Diagrams; Chapter 5: Hamiltonian Perturbation Theory; Chapter 6: Path Integrals in Quantum Mechanics; Chapter 7: Path Integrals in Field Theory; Chapter 8: Perturbative Expansion in Field Theory; Chapter 9: The Scattering Matrix; Chapter 10: Cross Sections; Chapter 11: Decay Rates; Chapter 12: The Dirac Equation; Chapter 13: Plane Wave Solutions of the Dirac Equation; Chapter 14: The Dirac Hamiltonian; Chapter 15: Path Integrals for Fermions…”

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Tabla de Contenidos: “…Entropy of a non-isolated system; 6. Entropy of Fermion systems; 7. Entropy of Boson system; 8. Entropy of information; Epilogue; Appendixes; Index…”

Tabla de Contenidos: “…-- Dentro del quark -- Fermiones y bosones del mundo: ¡uníos! -- La música de las cuerdas -- En busca de la teoría de todo -- Apéndices -- Apéndice A. …”

Tabla de Contenidos: “…I The Cellular Automaton Interpretation as a general doctrine: Motivation for this work -- Deterministic models in quantum notation -- Interpreting quantum mechanics -- Deterministic quantum mechanics -- Concise description of the CA Interpretation -- Quantum gravity -- Information loss -- More problems -- Alleys to be further investigated and open questions -- Conclusions -- II Calculation Techniques: Introduction to part II -- More on cogwheels -- The continuum limit of cogwheels, harmonic rotators and oscillators -- Locality -- Fermions -- PQ theory -- Models in two space-time dimensions without interactions -- Symmetries -- The discretised Hamiltonian formalism in PQ theory -- Quantum Field Theory -- The cellular automaton -- The problem of quantum locality -- Conclusions of part II -- Some remarks on gravity in 2+1 dimensions -- A summary of our views on Conformal Gravity -- Abbreviations. …”

Tabla de Contenidos: “…12.6 The universal covering group -- 12.7 The Cornwell mapping -- References -- 13 Spectra for operators -- 13.1 Spectral classification for bounded operators -- 13.2 Spectra for operators on a Banach space -- 13.3 Symmetric, self-adjoint, and unbounded operators -- 13.4 Bounded operators and numerical range -- 13.5 Self-adjoint operators -- 13.6 Normal operators and nonbounded operators -- 13.7 Spectral decomposition -- 13.8 Spectra for self-adjoint, normal, and compact operators -- 13.9 Pure states and density functions -- 13.10 Spectrum and resolvent set -- 13.11 Spectrum for nonbounded operators -- 13.12 Brief descriptions of spectral measures and spectral theorems -- References -- 14 Canonical commutation relations -- 14.1 Isometries and unitary operations -- 14.2 Canonical hypergroups-a multisorted algebra view -- 14.3 Partial isometries -- 14.4 Multisorted algebra for partial isometries -- 14.5 Stone's theorem -- 14.6 Position and momentum -- 14.7 The Weyl form of the canonical commutation relations and the Heisenberg group -- 14.8 Stone-von Neumann and quantum mechanics equivalence -- 14.9 Symplectic vector space-a multisorted algebra approach -- 14.10 The Weyl canonical commutation relations C&amp -- lowast -- algebra -- References -- 15 Fock space -- 15.1 Particles within Fock spaces and Fock space structure -- 15.2 The bosonic occupation numbers and the ladder operators -- 15.3 The fermionic Fock space and the fermionic ladder operators -- 15.4 The Slater determinant and the complex Clifford space -- 15.5 Maya diagrams -- 15.6 Maya diagram representation of fermionic Fock space -- 15.7 Young diagrams representing quantum particles -- 15.8 Bogoliubov transform -- 15.9 Parafermionic and parabosonic spaces -- 15.10 Segal-Bargmann-Fock operations -- 15.11 Many-body systems and the Landau many-body expansion -- 15.12 Single-body operations…”

Tabla de Contenidos: “…Fatal attraction: forces yield structure -- Atomic structure -- The Bohr atom: energy quantization -- The Schrödinger atomsubjectsI]Schrödinger atom: three numbers -- The discovery of spin -- grey Behind the scenes -- Fermions and bosons -- Atoms: the building blocks of chemistry -- Nuclear structure -- Isotopes and nuclear decay modes -- Positron-emission tomography (PET) -- Transmutation: Fission and fusion -- grey Chysopoeia? …”

“…It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. …”

Tabla de Contenidos: “…10 Loops and Renormalization I: The ABC Theory -- 10.1 The propagator correction in ABC theory -- 10.1.1 The O(g2) self-energy ∏[2]C (q2) -- 10.1.2 Mass shift -- 10.1.3 Field strength renormalization -- 10.2 The vertex correction -- 10.3 Dealing with the bad news: a simple example -- 10.3.1 Evaluating ∏[2]C (q2) -- 10.3.2 Regularization and renormalization -- 10.4 Bare and renormalized perturbation theory -- 10.4.1 Reorganizing perturbation theory -- 10.4.2 The O(g2ph) renormalized self-energy revisited: how counter terms are determined by renormalization conditions -- 10.5 Renormalizability -- Problems -- 11 Loops and Renormalization II: QED -- 11.1 Counter terms -- 11.2 The O(e2) fermion self-energy -- 11.3 The O(e2) photon self-energy -- 11.4 The O(e2) renormalized photon self-energy -- 11.5 The physics of ∏̅γ[2] (q2) -- 11.5.1 Modified Coulomb's law -- 11.5.2 Radiatively induced charge form factor -- 11.5.3 The running coupling constant -- 11.5.4 ∏̅γ[2] in the s-channel -- 11.6 The O(e2) vertex correction, and Z1 = Z2 -- 11.7 The anomalous magnetic moment and tests of QED -- 11.8 Which theories are renormalizable - and does it matter? …”

Tabla de Contenidos: “…Quantum field theory with fermions. Gauge field theory. Feynman rules for quantum chromodynamics and quantum electrodynamics. …”

Tabla de Contenidos: “…A Review Reprinted from: Universe 2018, 4, 7, doi: 10.3390/universe4010007 69 -- Rakibur Rahman Frame- and Metric-Like Higher-Spin Fermions Reprinted from: Universe 2018, 4, 34, doi: 10.3390/universe4020034 . 114 -- Jin-Beom Bae, Euihun Joung and Shailesh Lal Exploring Free Matrix CFT Holographies at One-Loop Reprinted from: Universe 2017, 3, 77, doi: 10.3390/universe3040077 . 128 -- Thomas Basile A Note on Rectangular Partially Massless Fields Reprinted from: Universe 2018, 4, 4, doi: 10.3390/universe4010004 163 -- Xavier Bekaert, Maxim Grigoriev and Evgeny Skvortsov Higher Spin Extension of Fefferman-Graham Construction Reprinted from: Universe 2018, 4, 17, doi: 10.3390/universe4020017 . 199 -- Roberto Bonezzi Induced Action for Conformal Higher Spins from Worldline Path Integrals Reprinted from: Universe 2017, 3, 64, doi: 10.3390/universe3030064 . 225 -- Ioseph L. …”

“…The topic of guided wave (GW) propagation comprises a vast research area overlapping with photonics, matter waves in macroscopic quantum media (ultracold gases of bosonic and fermionic atoms, condensates of quasiparticles, such as excitons-polaritons, magnons, and cavity photons), hydrodynamics, acoustics, plasma physics, etc. …”