We introduce the notion of strong supercommutativity of self-adjoint operators on a Z2-graded Hilbert space and give some basic properties. We clarify that strong supercommutativity is a unification of strong commutativity and strong anticommutativity. We also establish the theory of super quantization. Applications to supersymmetric quantum field theory and a fermion-boson interaction system are discussed
We examine, in a quantum mechanical setting, the Hilbert space representation of the Becchi, Rouet, ...
Starting from general self-adjoint linear combinations of generators of the superalgebra $\frak{osp}...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
Operator-theoretical analysis is made on (unbounded) representations, in Hilbert spaces, of a supers...
Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a super...
An operator theoretical analysis is made on the representation of the supersymmetry(SUSY) algebra o...
AbstractWe present a general theory of non-perturbative quantization of a class of hermitian symmetr...
We present a general theory of non-perturbative quantization of a class of hermitian symmetric super...
It is shown that a class of Dirac operators acting in the abstract Boson-Fermion Fock space, which w...
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are consider...
We propose a modification of the Sp(2) covariant superfield quantization to realize a superalgebra o...
The superselection structure of so(N) WZW models is investigated form the point of view of algebraic...
In this conference, we present the philosophy and the basic concepts of Noncommutative Supergeometry...
We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a mo...
We consider the superspace BRST and BV description of 4D,N=1 super-Maxwell theory and its non-abelia...
We examine, in a quantum mechanical setting, the Hilbert space representation of the Becchi, Rouet, ...
Starting from general self-adjoint linear combinations of generators of the superalgebra $\frak{osp}...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
Operator-theoretical analysis is made on (unbounded) representations, in Hilbert spaces, of a supers...
Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a super...
An operator theoretical analysis is made on the representation of the supersymmetry(SUSY) algebra o...
AbstractWe present a general theory of non-perturbative quantization of a class of hermitian symmetr...
We present a general theory of non-perturbative quantization of a class of hermitian symmetric super...
It is shown that a class of Dirac operators acting in the abstract Boson-Fermion Fock space, which w...
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are consider...
We propose a modification of the Sp(2) covariant superfield quantization to realize a superalgebra o...
The superselection structure of so(N) WZW models is investigated form the point of view of algebraic...
In this conference, we present the philosophy and the basic concepts of Noncommutative Supergeometry...
We consider the self-adjoint extensions (SAE) of the symmetric supercharges and Hamiltonian for a mo...
We consider the superspace BRST and BV description of 4D,N=1 super-Maxwell theory and its non-abelia...
We examine, in a quantum mechanical setting, the Hilbert space representation of the Becchi, Rouet, ...
Starting from general self-adjoint linear combinations of generators of the superalgebra $\frak{osp}...
AbstractLet (H, R) be a quasitriangular Hopf algebra acting on an algebra A. We study a concept of A...
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