INIFTA 05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
Algebraic treatment of the pais–uhlenbeck oscillator and its pt-variant
Autor/es:
FERNÁNDEZ, FRANCISCO M.
Revista:
CANADIAN JOURNAL OF PHYSICS
Editorial:
NATL RESEARCH COUNCIL CANADA-N R C RESEARCH PRESS
Referencias:
Año: 2020 vol. 98 p. 949 - 952
ISSN:
0008-4204
Resumen:
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint. This matrix exhibits exceptional points where it becomes defective and can be written in canonical Jordan form. It is shown that any quadratic function of K coordinates and K momenta leads to a 2K differential equation for those dynamical variables. We illustrate all these features of the algebraic method by means of the Pais?Uhlenbeck oscillator and its PT-variant.
