ERROR BOUNDS FOR APPROXIMATIONS TO EXPECTATION VALUES OF UNBOUNDED OPERATORS

ERROR BOUNDS FOR APPROXIMATIONS TO EXPECTATION VALUES OF UNBOUNDED OPERATORS

A bound for the error between the expectation value of a self-adjoint operator B on the eigenfunction of a self -adjoint Hamiltonian H and the value given by an approximating vector, is obtained when H is a radial Schrodinger operator and B is multiplicative and unbounded. The analysis makes use of...

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Bibliographische Detailangaben
Hauptverfasser: Fox,David W, Bazley,Norman W
Format: Report
Sprache:eng
Schlagworte:
APPROXIMATION(MATHEMATICS)
ERRORS
FUNCTIONAL ANALYSIS
HAMILTONIAN FUNCTIONS
OPERATORS(MATHEMATICS)
QUANTUM THEORY
Quantum Theory and Relativity
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Beschreibung
Zusammenfassung:A bound for the error between the expectation value of a self-adjoint operator B on the eigenfunction of a self -adjoint Hamiltonian H and the value given by an approximating vector, is obtained when H is a radial Schrodinger operator and B is multiplicative and unbounded. The analysis makes use of point and asymptotic estimates for the eigenfunction. Prepared in cooperation with Battelle Memorial Inst., Geneva (Switzerland).