Abstract
The fundamental and productive version of quantum mechanics has been the one introduced by Erwin Schrödinger. The symbolic and operational techniques have been indispensable in providing a vocabulary for the teaching, discussion, and application of quantum mechanics. When the moment arrives that matrix elements have to be calculated and results obtained, it is the Schrödinger equation that is introduced and has to be solved. The term eigenvalue problem refers to the acquisition of suitable solutions of the boundary value problem of the differential equation and not to the diagonalization of a matrix. The specification of the boundary conditions in a way that would be adequate for axiomatic considerations was a concern of some delicacy. Schrödinger imposed the requirements of continuity, single-valuedness, and finiteness.
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