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Reconstruction of confining or attractive potentials of one-dimensional Schrodinger equation

Journal Article · · Theor. Math. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01018273· OSTI ID:6930176
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This paper investigates the dependence of confining or attractive potentials on the characteristics of the discrete spectrum of the one-dimensional Schrodinger equation. Asymptotic expressions are obtained for the regular solutions and the corrections to the potential in different cases of variation of the spectral characteristics. The connection between oneparameter transformations of the normalization constants and the nonlinear evolution equations for the recovered potential is considered.
Research Organization:
State Univ., Moscow
OSTI ID:
6930176
Journal Information:
Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 62:3; ISSN TMPHA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BOUND STATE
DIFFERENTIAL EQUATIONS
DISTANCE
EIGENFUNCTIONS
ENERGY LEVELS
EQUATIONS
FUNCTIONS
INTERACTION RANGE
KORTEWEG-DE VRIES EQUATION
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
RENORMALIZATION
SCHROEDINGER EQUATION
WAVE EQUATIONS