Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
Studies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge naturally from a geometric formalism. Specifically, in this formalism, Hamiltonians can be interpreted as a Christoffel symbol-like operators, and the Schroedinger equation as a parallel …