arXiv subjects

Gheorghe Draganescu

Publications and source records attributed to Gheorghe Draganescu.

2 recordsLinked to original sources

arXiv2013

Unitary Representations of Quantum Superpositions of two Coherent States and beyond

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results is briefly outlined.

quant-ph↗

arXiv1997

The Operator Algebra of the Quantum Relativistic Oscillator

The operator algebras of a new family of relativistic geometric models of the relativistic oscillator are studied. It is shown that, generally, the operator of number of quanta and the pair of the shift operators of each model are the generators of a non-unitary representation of the $so(1,2)$ algebra, except a special case when this algebra becomes the standard one of the non-relativistic harmonic oscillator.

math-ph↗