← all papers · overview

A no-go result for the quantum damped harmonic oscillator

Abstract

In this letter we show that it is not possible to set up a canonical quantization for the damped harmonic oscillator using the Bateman lagrangian. In particular, we prove that no square integrable vacuum exists for the {\em natural} ladder operators of the system, and that the only vacua can be found as distributions. This implies that the procedure proposed by some authors is only formally correct, and requires a much deeper analysis to be made rigorous.

Related papers

Ranked by semantic similarity — how closely each paper's abstract matches this one (100% = near-identical topic).