Non-linear field theories II. Canonical equations and quantization
PG Bergmann, JHM Brunings - Reviews of Modern Physics, 1949 - APS
In this paper, a covariant field theory of the general type of the theory of relativity is brought
into the canonical form and then quantized. Particles are assumed to be represented as …
into the canonical form and then quantized. Particles are assumed to be represented as …
Non-linear field theories
PG Bergmann - Physical Review, 1949 - APS
This is the first paper in a program concerned with the quantization of field theories which
are covariant with respect to general coordinate transformations, like the general theory of …
are covariant with respect to general coordinate transformations, like the general theory of …
On the quantization of a unitary field theory
RJ Finkelstein - Physical Review, 1949 - APS
In a unitary field theory particles appear not as singularities but as small volumes in which
energy and charge of the field are concentrated. In a theory of this nature, which is …
energy and charge of the field are concentrated. In a theory of this nature, which is …
On the quantization of the new field equations I
M Born, L Infeld - Proceedings of the Royal Society of …, 1934 - royalsocietypublishing.org
The new field theory has been developed in two papers. The first, quoted as I, contains not
only a classical treatment, but also an attempt at quantization; the second, quoted as II, a …
only a classical treatment, but also an attempt at quantization; the second, quoted as II, a …
Constraints in covariant field theories
JL Anderson, PG Bergmann - Physical Review, 1951 - APS
In this paper we have considered certain problems which arise when one attempts to cast a
covariant field theory into a canonical form. Because of the invariance properties of the …
covariant field theory into a canonical form. Because of the invariance properties of the …
The Hamiltonian of the general theory of relativity with electromagnetic field
PG Bergmann, R Penfield, R Schiller, H Zatzkis - Physical Review, 1950 - APS
In this paper we have given a specific example of a Hamiltonian of a non-linear field theory,
a Hamiltonian density completely free of time derivatives. In accordance with the general …
a Hamiltonian density completely free of time derivatives. In accordance with the general …
Quantization of nonlinear waves
J Goldstone, R Jackiw - Physical Review D, 1975 - APS
We suggest that certain nonlinear field theories possess a particle spectrum, richer than has
been heretofore discussed. In addition to states associated with quantization of the free-field …
been heretofore discussed. In addition to states associated with quantization of the free-field …
Canonical quantization of nonlinear waves
E Tomboulis - Physical Review D, 1975 - APS
By means of a canonical transformation we investigate nonlinear field theories that possess
exact classical solutions. This transformation is equivalent to the method of collective …
exact classical solutions. This transformation is equivalent to the method of collective …
Classical and quantum field theories in the Lagrangian formalism
PG Bergmann, R Schiller - Physical Review, 1953 - APS
In this paper, we have first examined the relationship between the transformation properties
of a (nonquantum) covariant field theory and its constraints, generating functionals …
of a (nonquantum) covariant field theory and its constraints, generating functionals …
The equations of motion in electrodynamics
L Infeld, PR Wallace - Physical Review, 1940 - APS
A formulation of the equations of motion of singularities in classical electromagnetic theory is
obtained. The general method introduced by Einstein, Infeld and Hoffmann leads in a simple …
obtained. The general method introduced by Einstein, Infeld and Hoffmann leads in a simple …