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20052026
most citedOn optimum Hamiltonians for state transformations

84 citations · 633 across the 31 of their papers we have counts for

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Showing hep-thShow all

12 papers · 1 filter

hep-th2015★ 22 cited

PT-symmetric interpretation of unstable effective potentials

Carl M. Bender, Daniel W. Hook, Nick E. Mavromatos +1

The conventional interpretation of the one-loop effective potentials of the Higgs field in the Standard Model and the gravitino condensate in dynamically broken supergravity is tha…

hep-th2014★ 19 cited

Infinitely many inequivalent field theories from one Lagrangian

Carl M. Bender, Daniel W. Hook, Nick E. Mavromatos +1

Logarithmic time-like Liouville quantum field theory has a generalized PT invariance, where T is the time-reversal operator and P stands for an S-duality reflection of the Liouvill…

hep-th2012★ 6 cited

Universal spectral behavior of potentials

Carl M. Bender, Daniel W. Hook

The PT-symmetric Hamiltonian ( real) exhibits a phase transition at . When , the eigenvalues are all real, positive, discrete, and grow as inc…

hep-th2012★ 9 cited

Negative-energy PT-symmetric Hamiltonians

Carl M. Bender, Daniel W. Hook, S. P. Klevansky

The non-Hermitian PT-symmetric quantum-mechanical Hamiltonian has real, positive, and discrete eigenvalues for all . These eigenvalues are analytic conti…

hep-th2010★ 27 cited

Quantum tunneling as a classical anomaly

Carl M. Bender, Daniel W. Hook

Classical mechanics is a singular theory in that real-energy classical particles can never enter classically forbidden regions. However, if one regulates classical mechanics by all…

hep-th2010★ 25 cited

Probability Density in the Complex Plane

Carl M. Bender, Daniel W. Hook, Peter N. Meisinger +1

The correspondence principle asserts that quantum mechanics resembles classical mechanics in the high-quantum-number limit. In the past few years many papers have been published on…