Quasi-bound states in H2

✍ Scribed by A.C. Allison

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 215 KB
• Volume: 3
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(69)80139-9

✦ Synopsis

A new method for the easy determination of quasi-hound states IS proposed. The method is used in a discussion of the two obsenred quasi-bound levels in molecular hydrogen. There is much interest in the existence of short-lived states arising from the trapping of a particle with positive energy by a potential barrier [l-3]. These resonances can be determined by noting the position at which the phase shift suddenly lumps by n, a method requiring the calculation of the absolute phase shift. This is, numerically, much more complicated than the straight-forward calculation of the phase shift that yields a value in the range % < n C $r and which is arbitrary by a multiple of 'IT. A new method is proposed by which the position of the resonance may be determined by making use of the simpler numerical procedure. The solution of the radial Schrlidmger equation, corresponding to wave number k, may be written, for large R, as x(R) = A sm(kR +q)