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Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
Quantum Mechanical Reflection Resonances
27 Oct 2006
Abstract
Resonances in the reflection probability amplitude r(E) can occur in energy
ranges in which the reflection probability R(E)=|r(E)|^2 is 1. They occur as
the phase phi(E) defined by r(E) = t*(E)/t(E) = 1e^{i 2phi(E)} undergoes a
rapid change of pi radians. During this transition the phase angle exhibits a
Lorentzian profile in that d(phi(E))/dE ~= 1/[(E-E_0)^2+(hbar*gamma/2)^2]. The
energy E_0 identifies the location of a quasi-bound state, gamma measures the
lifetime of this state, and t(E) is a matrix element of the transfer operator.
Methods for computing and measuring these resonances are proposed.
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Details
- Title
- Quantum Mechanical Reflection Resonances
- Creators
- Erica CadenRobert Gilmore
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- [Retired Faculty]
- Other Identifier
- 991021861870104721