The conventional correspondence basis for quantum dynamics is here replaced by a self-contained quantum dynamical principle from which the equations of motion and the commutation relations can be deduced. The theory is developed in terms of the model supplied by localizable fields. A short review is first presented of the general quantum-mechanical scheme of operators and eigenvectors, in which emphasis is placed on the differential characterization of representatives and transformation… Expand

AbstractSchwinger's action principle is formulated for the quantum system which corresponds to the classical system described by the LagrangianLc(
$$\dot x$$
, x)=(M/2)gij(x)
$$\dot x$$
i
$$\dot x$$… Expand

SummaryThis is the first paper from a series in which the consequences of invariance of Quantum Field Theory under anf-parameter Lie group are investigated. Part I deals with the consequences of… Expand

Schwinger’s quantum action principle is used to obtain a quantum mechanical description of a subspace and its properties. The subspaces considered are those regions (Ω) of real space as defined by a… Expand

This work is a continuation and extension of the delineation of the properties of a quantum subspace—a region of the real space of a molecular system bounded by a surface through which the flux in… Expand

In these few lectures, I shall present a brief outline of a charged scalar field propagating in given background electromagnetic field and given space-time. The theory will be expressed in terms of… Expand

The principal development in this paper is the extension of the eigenvalue-eigenvector concept to complete sets of anticommuting operators. With the aid of this formalism we construct a… Expand