Search results for "Functional derivative"

showing 2 items of 2 documents

Functional Derivative Approach

2001

Let us now leave the path integral formalism temporarily and reformulate operatorial quantum mechanics in a way which will make it easy later on to establish the formal connection between operator and path integral formalism. Our objective is to introduce the generating functional into quantum mechanics. Naturally we want to generate transition amplitudes. The problem confronting us is how to transcribe operator quantum mechanics as expressed in Heisenberg’s equation of motion into a theory formulated solely in terms of c-numbers. This can be achieved either by Schwinger’s action principle or with the aid of a generation functional defined as follows:

AlgebraFormalism (philosophy of mathematics)Computer sciencePath integral formulationEquations of motionFunctional derivative
researchProduct

Quantized Fields and Their Interpretation

2013

This chapter deals with the quantum theory of systems with an infinite number of degrees of freedom and provides elements of quantum field theory.

PhysicsInfinite numberClassical mechanicsPath integral formulationDegrees of freedomFunctional derivativeQuantum field theoryInterpretation (model theory)
researchProduct