Functional inversion for potentials in quantum mechanics

✍ Scribed by Richard L. Hall

• Book ID: 104338033
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 117 KB
• Volume: 265
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00872-5

✦ Synopsis

Ž .

Ž . Let E s F Õ be the ground-state eigenvalue of the Schrodinger Hamiltonian H syD q Õf x , where the potential Ž . shape f x is symmetric and monotone increasing for x ) 0, and the coupling parameter Õ is positive. If the kinetic

reconstructed from F by the sequence f s f ( f ( f . Convergence is proved for special classes of potential shape; for other test cases it is demonstrated numerically. The seed potential shape f w0x need not be 'close' to the limit f.