Fractional Dirac operators and deformed field theory on Clifford algebra
From MaRDI portal
Publication:603494
DOI10.1016/j.chaos.2009.04.002zbMath1198.81086OpenAlexW2027005727MaRDI QIDQ603494
Publication date: 8 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2009.04.002
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33)
Related Items (14)
FRACTIONAL DIRAC OPERATORS AND LEFT-RIGHT FRACTIONAL CHAMSEDDINE–CONNES SPECTRAL BOSONIC ACTION PRINCIPLE IN NONCOMMUTATIVE GEOMETRY ⋮ NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS ⋮ Quantum field theory, gravity and cosmology in a fractal universe ⋮ Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets ⋮ The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry ⋮ Two occurrences of fractional actions in nonlinear dynamics ⋮ Gravitons in fractional action cosmology ⋮ Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments ⋮ Lagrangians, gauge functions, and Lie groups for semigroup of second-order differential equations ⋮ Fischer Decomposition and Cauchy–Kovalevskaya Extension in Fractional Clifford Analysis: The Riemann–Liouville Case ⋮ Theory and applications of a more general form for fractional power series expansion ⋮ Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications ⋮ COMPLEXIFIED FRACTIONAL HEAT KERNEL AND PHYSICS BEYOND THE SPECTRAL TRIPLET ACTION IN NONCOMMUTATIVE GEOMETRY
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- On the fractional minimal length Heisenberg-Weyl uncertainty relation from fractional Riccati generalized momentum operator
- Relativistic wave equations with fractional derivatives and pseudodifferential operators
- Fractional dynamics and the standard model for particle physics
- Hilbert space, the number of Higgs particles and the quantum two-slit experiment
- Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment
- On the nature of complex time, diffusion and the two-slit experiment
- Quantum mechanics and the possibility of a Cantorian space-time
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
- On some possible generalizations of fractional Brownian motion.
- On the unification of the fundamental forces and complex time in the \(\mathcal E^{(\infty)}\) space.
- Fractional dynamics, Cantorian space-time and the gauge hierarchy problem
- On 't Hooft dimensional regularization in \(\mathcal E^{(\infty)}\) space
- On the uncertainty of Cantorian geometry and the two-slit experiment
- Fractal gravity and symmetry breaking in a hierachical Cantorian space
- Fractional dynamics and the TeV regime of field theory
- Stochastic quantization of nonlocal fields
- On the cohomology and instantons number in \(E\)-infinity Cantorian spacetime
- A guide to the mathematics of \(E\)-infinity Cantorian spacetime theory
- Complexity in quantum field theory and physics beyond the standard model
- FRACTIONAL LAGRANGIAN FORMULATION OF GENERAL RELATIVITY AND EMERGENCE OF COMPLEX, SPINORIAL AND NONCOMMUTATIVE GRAVITY
- Simple Solutions of the Fractional Dirac Equation of Order 2/3
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- Fractional actionlike variational problems
- FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS
This page was built for publication: Fractional Dirac operators and deformed field theory on Clifford algebra
