Quantum Hamiltonians from level statistics via dressing transformations

✍ Scribed by A. Ramani; B. Grammaticos; E. Caurier

• Book ID: 103897627
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 596 KB
• Volume: 37
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(94)00030-1

✦ Synopsis

We use the dressing transformation in order to reconstruct one-dimensional Hamiltonians starting from their spectra. Whenever the given spectrum departs from oscillator-like local behaviour the resulting potential is fractal. An estimate of this fractal dimension is presented.