Revisiting Time Evolution and Spatial Distribution of a Resonance

Engineering notes

Engineering notes will be added by the Power for Solar editorial team.

Chinese explanation / 中文解读

中文解读待补充：本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。

Original abstract

A resonance can be represented by the Gamow vector $|ψ^{\rm Gamow}\rangle$ in the complex momentum space $|\vec p e^{-iθ}\rangle$. In this work we revisit its representation $|ψ^{\rm phys}\rangle$ in the real momentum space $|\vec p \rangle$ through the analytical continuation of Gamow wavefunction, which also satisfies with the Hamilton eigenequation with the assistance of a few discrete virtual state vectors whose kinetic energies are the complex eigenmass. Both the decreasing behavior of the resonance and the production of the decayed scattering states can be both simultaneously described by the time evolution $|ψ^{\rm phys},t\rangle=\exp(-iH t) \, |ψ^{\rm phys}\rangle$. The $|ψ^{\rm phys},t=0\rangle$ gives the finite-range confinement of the resonance while the $|ψ^{\rm phys},t\to +\infty\rangle$ provides a Breit-Wigner-like distribution of the final scattering states whose appearance probability is nonzero as $r\to \infty$. A toy model in hadron physics is used and numerically shows the above picture.

Links and sources

• Official / arXiv page
• PDF from original source

Comments