Almost Commuting Selfadjoint operators and Quantum Measurements

Huaxin Lin (SIMIS (Shanghai) )

Wednesday 1st July 16:00-17:00
Maths 110

Abstract

We will discuss  Mumford's Approximately Macroscopically Unique (AMU) states. We will show  Mumford's AMU exist for quantum systems consisting of unbounded self-adjoint operators when the commutators are small. In particular, AMU states always exist in position and momentum systems when the Planck constant $|\hbar|$  is sufficiently small. However, we show that these standard quantum mechanical systems are far away from classical (commutative) mechanical systems even when $|\hbar|\to 0.$

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