| Autor: |
Gradinaru, Vasile, Hagedorn, George A., Joye, Alain |
| Rok vydání: |
2010 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/1751-8113/43/47/474026 |
| Popis: |
We study the time behavior of wave functions involved in tunneling through a smooth potential barrier in one dimension in the semiclassical limit. We determine the leading order component of the wave function that tunnels. It is exponentially small in $1/\hbar$. For a wide variety of incoming wave packets, the leading order tunneling component is Gaussian for sufficiently small $\hbar$. We prove this for both the large time asymptotics and for moderately large values of the time variable. |
| Databáze: |
arXiv |
| Externí odkaz: |
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