Semiclassical quantum mechanics. III. The large order asymptotics and more general states

✍ Scribed by George A. Hagedorn

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 577 KB
• Volume: 135
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(81)90143-3

✦ Synopsis

We solve the time dependent Schriidinger Equation ih(@/&) = -(h*/2m) dyl + VW modulo errors which have L* norms on the order of h"* for arbitrarily large I. The initial conditions we consider are fairly general states whose position and momentum uncertainties are proportional to hV2.