Parameter Differentiation of Quantum-Mechanical Linear Operators
- 1 June 1963
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (6) , 762-775
- https://doi.org/10.1063/1.1724318
Abstract
Quantum‐mechanical linear operators have some real‐number parameters in them. The differential coefficients of functions, including eigenvalues and eigenvectors, of such an operator with respect to a parameter are calculable from the differential coefficient of the operator with respect to the parameter. The formulas for this purpose are presented together with their proofs.Keywords
This publication has 3 references indexed in Scilit:
- Quantum-Mechanical Sum-Rule for Infinite Sums Involving the OperatorPhysical Review B, 1962
- Adiabatic second-order energy derivatives in quantum mechanicsMathematical Proceedings of the Cambridge Philosophical Society, 1958
- Note on Perturbation TheoryAmerican Journal of Physics, 1954