Issues

 / 

2014

 / 

November

  

Methodological notes


On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions


Institute for Nuclear Research of National Academy of Sciences Ukraine, prosp. Nauki 47, Kiev, 30650, Ukraine

An analysis is given of multiple internal reflections undergone by particles and phonons undergoing one-, two-, and three-dimensional tunneling. Results obtained by using the time dependent Schrödinger equation for nonrelativistic particles and those obtained with the time dependent Helmholtz equation for electromagnetic waves are presented. The paper closes with conclusions and considerations for future research.

Text can be downloaded in Russian. English translation is available here.
PACS: 03.65.Xp, 42.25.−p, 42.50.Xa (all)
DOI: 10.3367/UFNe.0184.201411h.1255
URL: https://ufn.ru/en/articles/2014/11/g/
Citation: Olkhovsky V S "On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions" Phys. Usp. 57 1136–1145 (2014)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 10th, March 2014, revised: 15th, May 2014, 20th, May 2014

Оригинал: Ольховский В С «O многократных внутренних отражениях туннелирующих частиц и фотонов в одномерном, двухмерном и трёхмерном туннелировании» УФН 184 1255–1264 (2014); DOI: 10.3367/UFNr.0184.201411h.1255

References (66) Cited by (2) Similar articles (20) ↓

  1. V.S. Olkhovsky “On time as a quantum observable canonically conjugate to energy54 829–835 (2011)
  2. A.A. Kolokolov “Fresnel formulas and the principle of causality42 931 (1999)
  3. F.V. Ignaovich, V.K. Ignatovich “Optics of anisotropic media55 709–720 (2012)
  4. B.Ya. Zel’dovich, M.J. Soileau “Bi-frequency pendulum on a rotary platform: modeling various optical phenomena47 1239–1255 (2004)
  5. A.V. Shepelev “Can the radiance increase in a noninverted medium?42 203–204 (1999)
  6. A.I. Frank “On the properties of the "potential" neutron dispersion law in a refractive medium61 900–901 (2018)
  7. G.S. Golitsyn “Demonstrativeness of using energy rather than mass as the unit of measure for a number of problems in physics, mechanics, and geophysics51 723–725 (2008)
  8. V.V. Shevchenko “Forward and backward waves: three definitions and their interrelation and applicability50 287–292 (2007)
  9. V.I. Ritus “Lagrange equations of motion of particles and photons in the Schwarzschild field58 1118–1123 (2015)
  10. A.N. Herega, N.G. Drik, A.P. Ugol’nikov “Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field55 519–521 (2012)
  11. Yu.M. Bruk, A.N. Voloshchuk “Scattering phases for particles with nonzero orbital momenta and resonance regimes in the Pais approximation55 161–168 (2012)
  12. A.G. Shalashov, E.D. Gospodchikov “Structure of the Maxwell equations in the region of linear coupling of electromagnetic waves in weakly inhomogeneous anisotropic and gyrotropic media55 147–160 (2012)
  13. M.V. Kuzelev, A.A. Rukhadze “Nonrelativistic quantum theory of stimulated Cherenkov radiation and Compton scattering in a plasma54 375–380 (2011)
  14. S.A. Afanas’ev, D.I. Sementsov “Energy fluxes during the interference of electromagnetic waves51 355–361 (2008)
  15. B.M. Bolotovskii, A.V. Serov “Special features of motion of particles in an electromagnetic wave46 645–655 (2003)
  16. F.Ya. Khalili “Zero-point oscillations, zero-point fluctuations, and fluctuations of zero-point oscillations46 293–307 (2003)
  17. B.M. Bolotovskii, S.N. Stolyarov “Law of conservation of energy for the electromagnetic field as applied to radiation by moving charged particles35 (3) 248–254 (1992)
  18. K.S. Vul’fson “Angular momentum of electromagnetic waves30 724–728 (1987)
  19. B.M. Bolotovskii, V.A. Davydov, V.E. Rok “The emission of electromagnetic waves in the case of a smooth variation of parameters of a radiating system25 167–175 (1982)
  20. B.M. Bolotovskii, V.A. Davydov, V.E. Rok “Radiation of electromagnetic waves on instantaneous change of the state of the radiating system21 865–872 (1978)

The list is formed automatically.

© 1918–2019 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions