Pointwise Reconstruction of Wave Functions from Their Moments through Weighted Polynomial Expansions: An Alternative Global-Local Quantization Procedure

Pointwise Reconstruction of Wave Functions from Their Moments through Weighted Polynomial Expansions: An Alternative Global-Local Quantization Procedure

Many quantum systems admit an explicit analytic Fourier space expansion, besides the usual analytic Schrödinger configuration space representation. We argue that the use of weighted orthonormal polynomial expansions for the physical states (generated through the power moments) can define an L2 conve...

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Bibliographic Details
Main Authors: Carlos R. Handy, Daniel Vrinceanu, Carl B. Marth, Harold A. Brooks
Format: Article
Language:English
Published: MDPI AG 2015-11-01
Series:Mathematics
Subjects:
weighted polynomial expansions
moment representations
Hill determinant method
algebraic quantization
Online Access:http://www.mdpi.com/2227-7390/3/4/1045

Internet

http://www.mdpi.com/2227-7390/3/4/1045

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