Add to ORKGWe revise the construction of creation/annihilation operators in quantum mechanics based on the representation theory of the Heisenberg and symplectic groups. Besides the standard harmonic oscillator (the elliptic case) we similarly treat the repulsive oscillator (hyperbolic case) and the free particle (the parabolic case). The respective hypercomplex numbers turn out to be handy on this occasion. This provides a further illustration to the Similarity and Correspondence Principle
Given a real number q such that 0 \u3c q\u3c 1 , the natural setting for the mathematics of a q-osci...
In this paper we present some recent and new developments in the theory of p{ mechanics. p{Mechanics...
A new representation-which is similar to the Bargmann representation-of the creation and annihila...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
In the spirit of geometric quantisation we consider representations of the Heisenberg(–Weyl) group i...
These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numb...
These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numb...
In the spirit of geometric quantisation we consider representations of the Heisenberg(–Weyl) group i...
This paper discusses quantum mechanical schemas for describing waves with non-abelian phases, Fock s...
We show the use of the theory of Lie algebras, especially their oscillator realizations, in the cont...
Quantum theory (QT) which is one of the basic theories of physics, namely in terms of ERWIN SCHRÖDI...
Quantum theory (QT) which is one of the basic theories of physics, namely in terms of ERWIN SCHRÖDI...
Given a real number q such that 0 \u3c q\u3c 1 , the natural setting for the mathematics of a q-osci...
Given a real number q such that 0 \u3c q\u3c 1 , the natural setting for the mathematics of a q-osci...
In this paper we present some recent and new developments in the theory of p{ mechanics. p{Mechanics...
A new representation-which is similar to the Bargmann representation-of the creation and annihila...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
We revise the construction of creation/annihilation operators in quantum mechanics based on the repr...
In the spirit of geometric quantisation we consider representations of the Heisenberg(–Weyl) group i...
These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numb...
These notes describe some links between the group SL2(R), the Heisenberg group and hypercomplex numb...
In the spirit of geometric quantisation we consider representations of the Heisenberg(–Weyl) group i...
This paper discusses quantum mechanical schemas for describing waves with non-abelian phases, Fock s...
We show the use of the theory of Lie algebras, especially their oscillator realizations, in the cont...
Quantum theory (QT) which is one of the basic theories of physics, namely in terms of ERWIN SCHRÖDI...
Quantum theory (QT) which is one of the basic theories of physics, namely in terms of ERWIN SCHRÖDI...
Given a real number q such that 0 \u3c q\u3c 1 , the natural setting for the mathematics of a q-osci...
Given a real number q such that 0 \u3c q\u3c 1 , the natural setting for the mathematics of a q-osci...
In this paper we present some recent and new developments in the theory of p{ mechanics. p{Mechanics...
A new representation-which is similar to the Bargmann representation-of the creation and annihila...