Semiclassical Theory of Shape Resonances in Quantum Mechanics

Released on by Peter D. Hislop
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  • Semiclassical Theory of Shape Resonances in Quantum Mechanics Book Detail

  • Author : Peter D. Hislop
  • Release Date : 1989
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 133
  • ISBN 13 : 0821824627
  • File Size : 93,93 MB
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Semiclassical Theory of Shape Resonances in Quantum Mechanics by Peter D. Hislop PDF Summary

Book Description: In this paper, we prove the existence of shape resonances in the semi-classical approximation for Hamiltonians of the form [italic]H([lowercase Greek]Lambda) [triple bar symbol] −([capital Greek]Delta + ([lowercase Greek]Lambda2[italic]V + [italic]U on [italic]L2([bold]R[superscript italic]n), where ([lowercase Greek]Lambda [triple bar symbol] 1/h[with stroke], h[with stroke] [triple bar symbol] (2[lowercase Greek]Pi)−1h.

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