Analytic bounds on transmission probabilities

作者：Boonserm Petarpa^*; Visser Matt

来源：Annals of Physics, 2010, 325(7): 1328-1339.

DOI：10.1016/j.aop.2010.02.005

• Transmission
• Reflection
• Bogoliubov coefficients
• Analytic bounds

We develop some new analytic bounds on transmission probabilities (and the related reflection probabilities and Bogoliubov coefficients) for generic one-dimensional scattering problems. To do so we rewrite the Schrodinger equation for some complicated potential whose properties we are trying to investigate in terms of some simpler potential whose properties are assumed known, plus a (possibly large) "shift" in the potential. Doing so permits us to extract considerable useful information without having to exactly solve the full scattering problem.

• 出版日期2010-7