Showing papers on "Coherent states in mathematical physics published in 1972"
TL;DR: In this paper, the concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie groups and its features are investigated for the simplest Lie groups.
Abstract: The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.
1,174 citations
TL;DR: In this article, the normalizable states that minimize the uncertainty product of the oscillator phase operators are determined and some of their physical properties are discussed, and a physical classification of these states has been made and the class of ''analogous'' states to the well-known coherent states is defined.
Abstract: The normalizable states that minimize the uncertainty product of the oscillator phase operators are determined and some of their physical properties are discussed. A physical classification of these states has been made and the class of ``analogous'' states to the well‐known coherent states is physically defined.
12 citations
TL;DR: In this article, the connection between poles of the S-matrix and states of the Hamiltonian of non-relativistic quantum mechanical systems is made with a view to elucidate the concept of shadow states which have been used by one of the authors for the elimination of divergences in quantum field theory with the aid of an indefinite metric.
9 citations
TL;DR: In this article, the wave operators which can be introduced in quantum field theories with cutoff interactions can be represented by wave transformers acting on states represented by statistical operators, which then form the basis of a time-independent scattering theory for such quantum fields.
Abstract: It is shown that the wave operators which can be introduced in quantum field theories with cutoff interactions can be represented by wave transformers acting on states represented by statistical operators. Integral representations can be found for these wave transformers, which then form the basis of a time‐independent scattering theory for such quantum field theories. It is pointed out that this leads to a time‐independent perturbation theory in Fock space.
7 citations
TL;DR: The coheret-state method is applied to find the normal form of functions of boson creation and annihilation operators as mentioned in this paper, in addition to simple evaluation of commutation relations as ivell as to proving operator identities of interest in radiation and quantum field theory.
Abstract: The coheret-state method is applied to find the normal form of functions of boson creation and annihilation operators. The method is applicable, in addition, to simple evaluation of commutation relations as ivell as to proving operator identities of interest in radiation and quantum field theory. Examples are given to illustrate the method.
3 citations