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Local and Global Casimir Energies in a Green's Function Approach
K. A. Milton, I. Cavero-Pelaez, K. Kirsten
The effects of quantum fluctuations in fields confined by background configurations may be simply and transparently computed using the Green's function approach pioneered by Schwin…
Local and Global Casimir Energies for a Semitransparent Cylindrical Shell
Ines Cavero-Pelaez, Kimball A. Milton, Klaus Kirsten
The local Casimir energy density and the global Casimir energy for a massless scalar field associated with a -function potential in a 3+1 dimensional circular cylindrical geome…
Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
Carl M. Bender, Dorje C. Brody, Jun-Hua Chen +3
In a recent paper Jones and Mateo used operator techniques to show that the non-Hermitian $\cP\cT$-symmetric wrong-sign quartic Hamiltonian $H=\half p^2-gx^4$ has the same spectrum…
Thermal corrections to the Casimir effect
Iver Brevik, Simen A. Ellingsen, Kimball A. Milton
The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally…
Classical Trajectories for Complex Hamiltonians
Carl M. Bender, Jun-Hua Chen, Daniel W. Darg +1
It has been found that complex non-Hermitian quantum-mechanical Hamiltonians may have entirely real spectra and generate unitary time evolution if they possess an unbroken $\cP\cT$…