The paper proves classical resonant Fermi-Ulam accelerators are recurrent for almost all orbits, while the quantized version generically has quadratically growing energy, though the quantum proof has gaps.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2025 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
On the original Ulam's problem and its quantization
The paper proves classical resonant Fermi-Ulam accelerators are recurrent for almost all orbits, while the quantized version generically has quadratically growing energy, though the quantum proof has gaps.