2k citations · 23.2k across the 188 of their papers we have counts for
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Models of Topology Change
Alfred D. Shapere, Frank Wilczek, Zhaoxi Xiong
We show how changes in unitarity-preserving boundary conditions allow continuous interpolation among the Hilbert spaces of quantum mechanics on topologically distinct manifolds. We…
Constraints on Chronologies
Alfred Shapere, Frank Wilczek
The time ordering of two spacelike separated events is arbitrary, when all inertial frames are taken into account, but for three or more events it is not generally so. We determine…
Branched Quantization
Alfred Shapere, Frank Wilczek
We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function with cusps. Appropriate boundary conditions, which…
A Long View of Particle Physics
Frank Wilczek
2011 marked the hundredth anniversary both of the famous Solvay conferences, and of the Geiger-Marsden experiment that launched the modern understanding of subatomic structure. I w…
Quantum Time Crystals
Frank Wilczek
Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The pos…
Classical Time Crystals
Alfred Shapere, Frank Wilczek
We consider the possibility that classical dynamical systems display motion in their lowest energy state, forming a time analogue of crystalline spatial order. Challenges facing th…