S-MATRIX FOR THE ONE-DIMENSIONAL SCHRODINGER EQUATION
Technical Report
·
OSTI ID:4818134
>An equation was derived in which the kinetic energy v' = 2(E - u) plays the role of a variable with respect to which the differentiation is being made. This equation is equivalent to the one-dimensional Schrodinger equation. An explicit expression for the S-matrix was written and its expansion in ever- convergent series was found. In the simplest case the zero term of expansion of the matrix S corresponds to the absence of reflection and coincides with WK3 approximation. The first term gives superbarrier reflection, in particular, the formula obtained by I. Goldman and A. Migdal. By means of another expansion of S- matrix, the correction to the connection formulas were found. (auth)
- Research Organization:
- Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
- NSA Number:
- NSA-16-002483
- OSTI ID:
- 4818134
- Report Number(s):
- JINR-D-690
- Country of Publication:
- USSR
- Language:
- English
Similar Records
Differentiated Schrodinger Equation
THE BEHAVIOUR OF THE FIRST-ORDER DENSITY MATRIX AT THE COULOMB SINGULARITIES OF THE SCHRODINGER EQUATION
Stokes phenomena and monodromy deformation problem for nonlinear Schrodinger equation
Journal Article
·
Mon Dec 31 23:00:00 EST 1962
· Journal of Chemical Physics
·
OSTI ID:4766068
THE BEHAVIOUR OF THE FIRST-ORDER DENSITY MATRIX AT THE COULOMB SINGULARITIES OF THE SCHRODINGER EQUATION
Journal Article
·
Sat Nov 30 23:00:00 EST 1963
· Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,
·
OSTI ID:4070235
Stokes phenomena and monodromy deformation problem for nonlinear Schrodinger equation
Journal Article
·
Tue Jul 01 00:00:00 EDT 1986
· Int. J. Theor. Phys.; (United States)
·
OSTI ID:7083750