C. Bender

activity

19932009

most citedMaking Sense of Non-Hermitian Hamiltonians

3k citations · 4.4k across the 20 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

hep-th2009★ 9 cited

Small- $ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H = p^{2} + x^{2} (i x)^{ε}$

Carl M. Bender, Karim Besseghir, Hugh F. Jones +1

The energy eigenvalues of the class of non-Hermitian PT-symmetric Hamiltonians $H = p^{2} + x^{2} (i x)^{ε}$ ( $ε \geq 0$ ) are real, positive, and discrete. The behavior of these eigenvalues has…

hep-th2009★ 26 cited

Nonunique C operator in PT Quantum Mechanics

Carl M. Bender, S. P. Klevansky

The three simultaneous algebraic equations, $C^{2} = 1$ , $[C, P T] = 0$ , $[C, H] = 0$ , which determine the $C$ operator for a non-Hermitian $P T$ -symmetric Hamiltonian $H$ , are shown to have a…

Small-ε behavior of the Non-Hermitian PT-Symmetric Hamiltonian H=p2+x2(ix)ε

Nonunique C operator in PT Quantum Mechanics

Small- $ε$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H = p^{2} + x^{2} (i x)^{ε}$