publication . Article . Other literature type . 1997

Fractional wave-function revivals in the infinite square well

Carlos R. Stroud; David L. Aronstein;
Open Access
  • Published: 01 Jun 1997 Journal: Physical Review A, volume 55, pages 4,526-4,537 (issn: 1050-2947, eissn: 1094-1622, Copyright policy)
  • Publisher: American Physical Society (APS)
We describe the time evolution of a wave function in the infinite square well using a fractional revival formalism, and show that at all times the wave function can be described as a superposition of translated copies of the initial wave function. Using the model of a wave form propagating on a dispersionless string from classical mechanics to describe these translations, we connect the reflection symmetry of the square-well potential to a reflection symmetry in the locations of these translated copies, and show that they occur in a ‘‘parity-conserving’’ form. The relative phases of the translated copies are shown to depend quadratically on the translation dista...
free text keywords: Wave function, Wave packet, Finite potential well, Quantum system, Time evolution, Physics, Wave function collapse, Superposition principle, Classical mechanics, Particle in a box
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