Non-Hermitian Radial Momentum Operator and Path Integrals in Polar Coordinates
نویسندگان
چکیده
منابع مشابه
Non-hermitian radial momentum operator and path integrals in polar coordinates
A salient feature of the Schrödinger equation is that the classical radial momentum term pr in polar coordinates is replaced by the operator P̂ † r P̂r, where the operator P̂r is not hermitian in general. This fact has important implications for the path integral and semi-classical approximations. When one defines a formal hermitian radial momentum operator p̂r = (1/2) ( ( ~̂xr )~̂ p + ~̂p( ~̂x r ) ) ,...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 2008
ISSN: 1347-4081,0033-068X
DOI: 10.1143/ptp.120.181