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Show 15 - Denoting the operator Equation the Hamiltonian as we imply that an the system. wave (1I-22) EV = operation of the type indicated in Equation (I1-21) is to be performed. thus operator H we may write (11·21) in the form HV where - The energy levels of the resulting eigenvalues of the Hamiltonian The eigenvalues of the Hamiltonian function V, eigenfunction of or eigenfunction, the operator H is in the constant. associated with the following fashion: is equivalent an to multi This constant is the For the Hamiltonian eigenvalue of H. operator of the single· valued and continuous a operand such that operating on it with H plying it by a numerica are system are corresponding operator, the eigenvalue is the energy E. Tnus the quantum-mechanical procedure for calculating the value of the energy of a conservative one-dimensional l.Ly by the potential V is cribed c Laasd ca which correspond to determine the the energy E of the system, to system des for which (1I-22) possesses single valued and continuous solutions. e igenva.lues , Equation Equation (11-22) is known as Schrodingerfs equation for a stationary state, that s, for energy a state which is an eigenstate of the Hamiltonian or operator. Equation (1I-22) of just one particle of SU9h particles, is the description of the in the system. it is necessary physical properties Because of the for us to large number employ statistical |
