Quaternions in mathematical physics (1): Alphabetical bibliography
arXiv:math-ph/0510059
Abstract
This is part one of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1- Alphabetical bibliography, 2- Analytical bibliography, 3- Notations and terminology, and 4- Formulas and identities. This quaternion bibliography will be further updated and corrected if necessary by the authors, who welcome any comment and reference that is not contained within the list.
110 pages, 1 figure. Updated from 1300 to 1430 references. Numerous corrections made
References in corpus (100)
- Quaternions in molecular modeling
- Right eigenvalue equation in quaternionic quantum mechanics
- Quaternion Involutions
- Quaternion Family Symmetry of Quarks and Leptons
- Fast complexified quaternion Fourier transform
- Generalized quantum dynamics
- Quaternion Singular Value Decomposition based on Bidiagonalization to a Real Matrix using Quaternion Householder Transformations
- Finite Lorentz Transformations, Automorphisms, and Division Algebras
- Quaternionic potentials in non-relativistic quantum mechanics
- Algebraic and Dirac-Hestenes Spinors and Spinor Fields
- Electron structure, Zitterbewegung, and the new non-linear Dirac-like equation
- Spin and Electron Structure
- Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem
- An Introduction to Cartan's KAK Decomposition for QC Programmers
- Bargmann Invariants and Geometric Phases - a Generalised Connection
- Quaternionic Monopoles
- About Zitterbewegung and electron structure
- Dirac-Hestenes spinor fields in Riemann-Cartan spacetime
- Quaternionic and Octonionic Spinors. A Classification
- Non-Abelian gauge field theory in scale relativity
- Bargmann invariants and off-diagonal geometric phases for multi-level quantum systems -- a unitary group approach
- Gravitoelectromagnetism in a complex Clifford algebra
- Hidden symmetries, special geometry and quaternionic manifolds
- Conformal structures and twistors in the paravector model of spacetime
- Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime
- Quaternions for Guts
- Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics
- Sylvester-Gallai Theorems for Complex Numbers and Quaternions
- Representations of U(1,q) and Constructive Quaternion Tensor Products
- One Component Dirac Equation
- Projective Group Representations in Quaternionic Hilbert Space
- Hyperhamiltonian dynamics
- Biquaternion Electrodynamics and Weyl-Cartan Geometry of Space-Time
- From the Geometry of Pure Spinors with their Division Algebras to Fermion's Physics
- From 2D conformal to 4D self-dual theories: quaternionic analyticity
- An exposition of results of Fricke
- Invariant local twistor calculus for quaternionic structures and related geometries
- The tensor analytical relationships of Dirac's equation
- Lanczos - Einstein - Petiau: From Dirac's equation to nonlinear wave mechanics
- Positronium as an example of algebraic composite calculations
- Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification
- Experimental status of quaternionic quantum mechanics
- Odd Dimensional Translation between Complex and Quaternionic Mechanics
- Harmonic potentials for symmetric quaternionic sigma-models
- Singular Sources of Maxwell Fields with Self-Quantized Electric Charge
- On the physical interpretation of singularities in Lanczos-Newman electrodynamics
- A scale-relativistic derivation of the Dirac Equation
- The relations of the homogeneous Maxwell's equations to the theory of functions
- Alternative Descriptions in Quaternionic Quantum Mechanics
- Duffin-Kemmer-Petiau equation on the quaternion field
- The physical heritage of Sir W.R. Hamilton
- Lanczos's equation to replace Dirac's equation ?
- Global effects in quaternionic quantum field theory
- Quaternionic equation for electromagnetic fields in inhomogeneous media
- A Rejoinder on Quaternionic Projective Representations
- Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation
- Littlewood's algorithm and quaternion matrices
- Quaternions in University-Level Physics Considering Special Relativity
- Quaternionic Electroweak Theory and CKM Matrix
- Kählerian Killing Spinors, Complex Contact Structures and Twistor Spaces
- Connection between Different Function Theories in Clifford Analysis
- Twistor and "weak" gauge structures in the framework of quaternionic analysis
- The Dirac-Hestenes Lagrangian
- Comments on "Dirac theory in spacetime algebra"
- On Quaternions and Monopoles
- Cornelius Lanczos's derivation of the usual action integral of classical electrodynamics
- On the relation between the Maxwell system and the Dirac equation
- The locally-conserved current density of the Lienard-Wiechert field
- Quaternionic integrable systems
- Relativistic SU(4) and Quaternions
- Dirac's wave mechanical theory of the electron and its field theoretical interpretation
- Dirac Equation in Scale Relativity
- On the covariant formulation of Dirac's equation
- Spin and Isospin in Quaternion Quantum Mechanics
- Physical Space as a Quaternion Structure, I: Maxwell Equations. A Brief Note
- The conservation laws in the field theoretical representation of Dirac's theory
- Algebrodynamics in complex space-time and the complex-quaternionic origin of Minkowski geometry
- Geometric Phase in Quaternionic Quantum Mechanics
- Nonadiabatic Geometric Phase in Quaternionic Hilbert Space
- General Solution of the Complex 4-Eikonal Equation and the "Algebrodynamical" Field Theory
- Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions
- Schwinger Algebra for Quaternionic Quantum Mechanics
- A Soluble Model for Scattering and Decay in Quaternionic Quantum Mechanics II: Scattering
- Implications of quaternionic dark matter
- Quadratic Differentials, Quaternionic Forms, and Surfaces
- Internal Symmetry From Division Algebras in Pure Spinor Geometry
- A new weight system on chord diagrams via hyperkähler geometry
- A Note on the Majorana-Oppenheimer Quantum Electrodynamics
- Quaternionic quantum interferometry
- Gauge field theory in scale relativity
- Derivation of the potential, field, and locally-conserved charge-current density of an arbitrarily moving point-charge
- Quaternionic Mass Matrices and CP Symmetry
- Twistor algebraic dynamics in complex space-time and physical meaning of hidden dimensions
- Eigenbundles, Quaternions, and Berry's Phase
- The Possible Role of Pure Spinors in Some Sectors of Particle Physics
- Integer-quaternion formulation of Lambek's representation of fundamental particles and their interactions
- Quaternionic Formulation of the Exact Parity Model
- Nature of Time and particles-caustics: physical World in algebrodynamics and in twistor theory
- On the structure of general solution to the equations of shear-free null congruences
- Quaternionic regularity and the dibar-Neumann problem in C^2