info:eu-repo/semantics/article
P T -symmetric strings
Fecha
2014-04Registro en:
Amore, Paolo ; Fernández, Francisco Marcelo; Garcia, Javier; Gutierrez, German; P T -symmetric strings; Elsevier; Annals Of Physics (new York); 343; 4-2014; 61-71
0003-4916
Autor
Amore, Paolo
Fernández, Francisco Marcelo
Garcia, Javier
Gutierrez, German
Resumen
We study both analytically and numerically the spectrum of inhomogeneous strings with PT-symmetric density. We discuss an exactly solvable model of PT-symmetric string which is isospectral to the uniform string; for more general strings, we calculate exactly the sum rules View the MathML source, with p=1,2,… and find explicit expressions which can be used to obtain bounds on the lowest eigenvalue. A detailed numerical calculation is carried out for two non-solvable models depending on a parameter, obtaining precise estimates of the critical values where pair of real eigenvalues become complex.