Huaxin Lin

collaborators

3 papers

math.OA2025

Approximately Macroscopically Unique States and Quantum Mechanics

Huaxin Lin, Hang Wang

We show that Mumford's Approximately Macroscopically Unique (AMU) states exist for quantum systems consisting of unbounded self-adjoint operators when the commutators are small. In…

math.OA2024

Existence of Approximately Macroscopically Unique States

Huaxin Lin

Let $H$ be an infinite dimensional separable Hilbert space and $B (H)$ the C*-algebra of bounded operators on $H .$ Suppose that $T_{1}, T_{2}, ..., T_{n}$ are self-adjoint operators in $B(H…

math.OA2024

Almost commuting self-adjoint operators and measurements

Huaxin Lin

We study the problem when an almost commuting $n$ -tuple self-adjoint operators in an infinite dimensional separable Hilbert space $H$ is close to an $n$ -tuple of commuting self-adj…