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math-ph2005
Mass Dependence of Vacuum Energy
S. A. Fulling
The regularized vacuum energy (or energy density) of a quantum field subjected to static external conditions is shown to satisfy a certain partial differential equation with respec…
math.SP2005
Coincidence of length spectra does not imply isospectrality
S. A. Fulling, Peter Kuchment
Penrose--Lifshits mushrooms are planar domains coming in nonisometric pairs with the same geodesic length spectrum. Recently S. Zelditch raised the question whether such billiards…