Calculation of tunneling rates across a barrier with continuous potential

2011/04/10 by Sina Khorasani, Khorasani, Sina
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1104.1748

arxiv created 2011/04/10 · openalex publication_date 2011/04/10 · arxiv updated 2011/04/12 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28

Abstract

Here, approximate, but accurate expressions for calculation of wavefunctions and tunneling rates are obtained using the method of uniform asymptotic expansion.

Related

• Directly integrating the Schroedinger to determine tunneling rates for arbitrary one-dimensional potential barriers
• Transmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top
• Tunneling of Bound Systems at Finite Energies: Complex Paths Through Potential Barriers
• The tunneling decay rate in QFT beyond the thin wall approximation
• Tunneling time scale of under-the-barrier forerunners