Complex Density of Continuum States in Resonant Quantum Tunneling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F20%3A00532399" target="_blank" >RIV/61389021:_____/20:00532399 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/20:10421670
Result on the web
<a href="https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.020401" target="_blank" >https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.020401</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevLett.125.020401" target="_blank" >10.1103/PhysRevLett.125.020401</a>

Result language
angličtina
Original language name
Complex Density of Continuum States in Resonant Quantum Tunneling
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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