176 citations · 464 across the 12 of their papers we have counts for
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math.SP2003★ 6 cited
Eigenfunctions for partially rectangular billiards
N. Burq, M. Zworski
In this note we further develop the idea of using a ``black box'' point of view (see our previous work) to study eigenfunctions for billiards which have rectangular components: the…
math.AP2003★ 2 cited
Bouncing ball modes and quantum chaos
N. Burq, M. Zworski
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we…
math.AP2003★ 19 cited
Quantum resonances and partial differential equations
Maciej Zworski
Resonances, or scattering poles, are complex numbers which mathematically describe meta-stable states: the real part of a resonance gives the rest energy, and its imaginary part, t…