Improved Multidimensional Semiclassical Tunneling Theory

2013 ◽  
Vol 117 (49) ◽  
pp. 13089-13100 ◽  
Author(s):  
Albert F. Wagner
Keyword(s):  
Semiclassical Tunneling ◽  
Tunneling Theory

PERTURBATION APPROACH FOR QUANTUM TRANSMISSION

1991 ◽  
Vol 05 (02) ◽  
pp. 107-115 ◽  
Author(s):  
C. JULIAN CHEN
Keyword(s):  
Scanning Tunneling ◽  
Perturbation Approach ◽  
Tunneling Microscopy ◽  
Positive Potential ◽  
Potential Barriers ◽  
Quantum Transmission ◽  
New Perturbation ◽  
De Broglie Wavelength ◽  
Semiclassical Tunneling ◽  
Tunneling Theory

In scanning tunneling microscopy (STM), the potential barriers are often close to or lower than the Fermi level, where both semiclassical tunneling theory and Bardeen’s tunneling theory are no longer valid. We present a new perturbation approach for general quantum transmission phenomena. For thick, positive potential barriers, it reduces to Bardeen’s tunneling theory. For potential barriers lower than the energy level, it is valid as long as the barrier thickness is smaller than one half of the de Broglie wavelength, a condition which is always satisfied in STM. An immediate application is shown.

scholarly journals THERMODYNAMICS OF CONSTANT CURVATURE BLACK HOLES THROUGH SEMICLASSICAL TUNNELING

2011 ◽  
Vol 26 (13) ◽  
pp. 937-947 ◽  
Author(s):  
ALEXANDRE YALE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Constant Curvature ◽  
Hawking Radiation ◽  
Emission Rate ◽  
Yang Mills ◽  
Fermion Fields ◽  
Tunneling Method ◽  
Semiclassical Tunneling ◽  
Algorithmic Procedure

We study the semiclassical tunneling of scalar and fermion fields from the horizon of a Constant Curvature Black Hole, which is locally AdS and whose five-dimensional analogue is dual to [Formula: see text] super-Yang–Mills. In particular, we highlight the strong reliance of the tunneling method for Hawking radiation on near-horizon symmetries, a fact often hidden behind the algorithmic procedure with which the tunneling approach tends to be used. We ultimately calculate the emission rate of scalars and fermions, and hence the black hole's Hawking temperature.

scholarly journals Exponentially accurate semiclassical tunneling wavefunctions in one dimension

2010 ◽  
Vol 43 (47) ◽  
pp. 474026 ◽  
Author(s):  
Vasile Gradinaru ◽  
George A Hagedorn ◽  
Alain Joye
Keyword(s):  
One Dimension ◽  
Semiclassical Tunneling

scholarly journals Microscopic tunneling theory of long Josephson junctions

1992 ◽  
Vol 45 (21) ◽  
pp. 12457-12464 ◽  
Author(s):  
N. Gro/nbech-Jensen ◽  
S. A. Hattel ◽  
M. R. Samuelsen
Keyword(s):  
Josephson Junctions ◽  
Tunneling Theory

scholarly journals Author Correction: Quantum tunneling theory of Cooper pairs as bosonic particles

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Edgar J. Patiño ◽  
Daniel Lozano‑Gómez
Keyword(s):  
Quantum Tunneling ◽  
Cooper Pairs ◽  
Tunneling Theory

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

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