Transformation design approach to a fermionic spacetime cage
De-Hone Lin
TL;DR
This paper introduces a transformation design method to construct a fermionic spacetime cage, linking spacetime structures with quantum constraints and exploring experimental feasibility for trapping fermions.
Contribution
It presents a novel approach to designing a fermionic spacetime cage using transformation techniques and analyzes its experimental viability.
Findings
Established constraint conditions linking spacetime and Dirac solutions
Designed a spacetime cage for fermions based on these constraints
Discussed experimental feasibility of the proposed fermionic cage
Abstract
This paper is concerned with the application of a spacetime structure to a three-dimensional quantum system. There are three components. First, the main part of this paper presents the constraint conditions which build the relation of a spacetime structure and a form invariance solution to the covariant Dirac equation. The second is to devise a spacetime cage for fermions with chosen constraints. The third part discusses the feasibility of the cage with an experiment.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Electrodynamics and Casimir Effect · Mechanical and Optical Resonators