期刊
PHYSICAL REVIEW LETTERS
卷 125, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.020401
关键词
-
资金
- Czech Science Foundation [20-09998S, 20-21179S]
- Charles University [UNCE/SCI/013]
We introduce a complex-extended continuum level density and apply it to one-dimensional scattering problems involving tunneling through finite-range potentials. We show that the real part of the density is proportional to a real time shift of the transmitted particle, while the imaginary part reflects the imaginary time of an instantonlike tunneling trajectory. We confirm these assumptions for several potentials using the complex scaling method. In particular, we show that stationary points of the potentials give rise to specific singularities of both real and imaginary densities which represent close analogues of excited-state quantum phase transitions in bound systems.
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