Carl M. Bender

Analytic continuation of eigenvalue problems

Nonperturbative calculation of symmetry breaking in quantum field theory

A new version of the \ensuremath{\delta} expansion is presented, which, unlike the conventional \ensuremath{\delta} expansion, can be used to do nonperturbative calculations in ...

Model of supersymmetric quantum field theory with broken parity symmetry

Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form $g(i\phi)^{2+\delta}$, where $\delta$ is a real...

Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of ${\cal PT}$ symme...

Coupled Anharmonic Oscillators. II. Unequal-Mass Case

We develop a general formalism for calculating the large-order behavior of perturbation theory for quantized systems of unequal-mass coupled anharmonic oscillators. Our techniqu...