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Paper   IPM / Physic / 6563
School of Physics
  Title:   Scalar Curvature Factor in the Schrodinger Equation and Scattering on Curved Surface
  Author(s):  A. Mostafazadeh
  Status:   Published
  Journal: Phys. Rev. A
  No.:  47
  Vol.:  54
  Year:  1996
  Pages:   1165-1170
  Supported by:  IPM
  Abstract:
The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar curvature term in the quantum Hamiltonian. The coefficient of the latter term is known to be related to the factor-ordering problem in curved-space quantization. Hence, in principle, the scattering data may be used to provide an experimental resolution of the theoretical factor-ordering ambiguity. To demonstrate the sensitivity required of such an experimental setup, the effect of a localized magnetic field in the scattering process is also analyzed.

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