Quantum Sturm-Liouville equation, quantum resolvent, quantum integrals, and quantum KdV: The Fast decrease case

Apr, 1995
15 pages
Published in:
  • Lett.Math.Phys. 36 (1996) 427-439
e-Print:
Report number:
  • RU-95-10

Citations per year

19951996199701
Abstract:
We construct quantum operators solving the quantum versions of the Sturm-Liouville equation and the resolvent equation, and show the existence of conserved currents. The construction depends on the following input data: the basic quantum field O(k)O(k) and the regularization .
  • field equations: Liouville
  • Korteweg-de Vries equation
  • current: conservation law
  • quantization