The derivative of an eigenvalue of this thing with respect to a parameter is equal to the expectation valueof the derivative of this thing with respect to that parameter according to a theorem named for Hellman andFeynman. The RAGE theorem allows one
The derivative of an eigenvalue of this thing with respect to a parameter is equal to the expectation valueof the derivative of this thing with respect to that parameter according to a theorem named for Hellman andFeynman. The RAGE theorem allows one to relate dynamical properties of states to the spectral propertiesof this thing. The von Neumann equation contains a term for the commutator of this thing and the densityoperator, which describes the time-dependence of the latter. This operator is a sum of two terms, one ofwhich is negative h-bar squared over two m times the Laplacian. E times a wave function is set equal to thisoperator of that wave function in the time-independent SchrÃ¶dinger equation. For 10 points, identify thisoperator that is equal to the sum of the kinetic and potential energy operators.
The derivative of an eigenvalue of this thing with respect to a parameter is equal to the expectation valueof the derivative of this thing with respect to that parameter according to a theorem named for Hellman andFeynman.
Hamiltonian operator [or energy operator until "kinetic and potential" is read]