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Author Green, T. A. ♦ Lanford, O. E. III
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANGULAR DISTRIBUTION ♦ CROSS SECTIONS ♦ ENERGY ♦ MATRICES ♦ OPERATORS ♦ QUANTUM MECHANICS ♦ SCATTERING ♦ SPECTRAL SHIFT
Abstract For a single nonrelativistic particle moving in a spherically symmetric potential, the existence of the Hilbert space wave operators and S operator was proved and phase shift formulas for these operators were deduced. The probability, P( OMEGA ), for scattering into the solid angle OMEGA was obtained from the time dependent theory. The relation between P( OMEGA ) and the R matrix of the standard plane wave formulation of scattering theory is established. For collimated incoming packets, it is shown that P( OMEGA ) can be expressed as an energy average of the differential cross section. (auth)
Educational Use Research
Learning Resource Type Article
Publisher Date 1960-03-01
Publisher Department Wesleyan Univ., Middletown, Conn.
Journal J. Math. Phys.
Volume Number 1
Organization Wesleyan Univ., Middletown, Conn.


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