The linear dynamics of wave functions in causal fermion systems
DOI10.1016/j.jde.2021.05.025zbMath1472.81334arXiv2101.08673OpenAlexW3121224970MaRDI QIDQ2048500
Marco Oppio, Felix Finster, Niky Kamran
Publication date: 6 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08673
Euler-Lagrange equationscausalityjet spacessurface layer integralscausal Green's operatorsFermion systemsregularized Minkowski vacuum
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for linear higher-order PDEs (35G10) Green's functions for elliptic equations (35J08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Fermionic systems in quantum theory (81V74)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noether-like theorems for causal variational principles
- A Lorentzian quantum geometry
- An action principle for the masses of Dirac particles
- The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics
- A class of conserved surface layer integrals for causal variational principles
- Curvature estimates and the positive mass theorem
- Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles
- Banach manifold structure and infinite-dimensional analysis for causal fermion systems
- Perturbation theory for critical points of causal variational principles
- Linearized fields for causal variational principles: existence theory and causal structure
- The causal action in Minkowski space and surface layer integrals
- A variational principle in discrete space-time: existence of minimizers
- A Hamiltonian formulation of causal variational principles
- On the mathematical foundations of causal fermion systems in Minkowski space
- Causal variational principles on measure spaces
- On the regularized fermionic projector of the vacuum
- A gauge fixing procedure for causal fermion systems
- Local algebras for causal fermion systems in Minkowski space
- On the structure of minimizers of causal variational principles in the non-compact and equivariant settings
- Symmetric hyperbolic linear differential equations
This page was built for publication: The linear dynamics of wave functions in causal fermion systems