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Approximate Quantum Cloaking and Almost-Trapped States

Approximate Quantum Cloaking and Almost-Trapped States

We describe potentials which act as approximate cloaks for matter waves. These potentials are derived from ideal cloaks for the conductivity and Helmholtz equations. At most energies $E$, if a potential is surrounded by an approximate cloak, then it becomes almost undetectable and unaltered by matter waves originating externally to …