• In mathematical physics, the WKB approximation or WKB method is a technique for finding approximate solutions to linear differential equations with spatially...
    39 KB (6,860 words) - 22:43, 25 May 2025
  • offer approximate solutions that are easier to compute, such as the WKB approximation. The Schrödinger equation was published in 1926. The first person...
    51 KB (6,491 words) - 21:36, 20 May 2025
  • Thumbnail for Instanton
    semi-classical approximation of the path-integral formulation in Euclidean time. We will first see this by using the WKB approximation that approximately...
    39 KB (6,385 words) - 04:27, 25 May 2025
  • In physics, the supersymmetric WKB (SWKB) approximation is an extension of the WKB approximation that uses principles from supersymmetric quantum mechanics...
    2 KB (321 words) - 04:24, 12 February 2024
  • Thumbnail for Transmission coefficient
    sample calculations, see rectangular potential barrier. Using the WKB approximation, one can obtain a tunnelling coefficient that looks like T = exp ⁡...
    8 KB (1,230 words) - 13:47, 26 September 2024
  • electromagnetism are neglected entirely. Less extreme approximations include, the WKB approximation, physical optics, the geometric theory of diffraction...
    1 KB (115 words) - 21:53, 9 March 2025
  • Often, this is approached through "quasi-classical" techniques (cf. WKB approximation). More rigorously, the mathematical operation involved in classical...
    12 KB (1,511 words) - 07:12, 14 February 2025
  • in the eikonal approximation in quantum mechanics are very closely related to the WKB approximation for one-dimensional waves. The WKB method, like the...
    4 KB (608 words) - 22:31, 12 April 2025
  • The WKB approximation is a method for solving equations in applied mathematics. WKB may also refer to: Warracknabeal Airport (IATA: WKB), in Warracknabeal...
    334 bytes (76 words) - 23:34, 24 February 2023
  • Ernest Langer, is a correction to the WKB approximation for problems with radial symmetry. When applying WKB approximation method to the radial Schrödinger...
    4 KB (611 words) - 07:44, 10 August 2023
  • Thumbnail for Léon Brillouin
    developed what is known as the Wentzel–Kramers–Brillouin approximation, also known as the WKB method, classical approach, and phase integral method. In...
    15 KB (1,417 words) - 22:06, 12 April 2025
  • applications of the stationary phase method to the multidimensional WKB approximation in quantum mechanics (as well as in optics), Ind is related to the...
    31 KB (5,062 words) - 13:43, 22 April 2025
  • usual conditions required for the SVEA validity. Ultrashort pulse WKB approximation Arecchi, F.; Bonifacio, R. (1965). "Theory of optical maser amplifiers"...
    7 KB (1,019 words) - 13:14, 11 January 2024
  • solve quantum mechanical problems, providing useful extensions to the WKB approximation, and statistical mechanics. Understanding the consequences of supersymmetry...
    16 KB (3,017 words) - 05:47, 26 May 2025
  • concept of semiclassical physics, beginning with the development of WKB approximation used in descriptions of quantum tunneling for example.: 231  While...
    17 KB (2,117 words) - 20:24, 25 May 2025
  • tunneling models using the Wentzel-Kramers Brillouin (WKB) approximation are useful. In the WKB theory, the tunneling current is predicted to be where...
    26 KB (3,643 words) - 14:31, 24 May 2025
  • derived from Einstein's equations and the Maxwell Lagrangian using a WKB approximation, cf. Ehlers 1973, sec. 5 Blanchet 2006, sec. 1.3 Rindler 2001, sec...
    194 KB (22,694 words) - 19:08, 7 June 2025
  • solutions are obtained using techniques like variational methods and WKB approximation. It is also common to treat a problem of interest as a small modification...
    75 KB (10,263 words) - 07:44, 1 June 2025
  • Thumbnail for Schottky barrier
    density can be expressed, for a triangular shaped barrier (considering WKB approximation) as:[citation needed] J T n , p = q 3 E 2 16 π 2 ℏ Φ B n , p e − 4...
    16 KB (2,095 words) - 19:42, 20 May 2025
  • for large wavelength). Some examples of a semiclassical approximation include: WKB approximation: electrons in classical external electromagnetic fields...
    4 KB (419 words) - 06:31, 28 May 2025
  • systems, one usually turns to other approximation schemes, such as the variational method and the WKB approximation. This is because there is no analogue...
    70 KB (15,991 words) - 17:43, 25 May 2025
  • logarithm, with base 10 Liouville–Green method, another name for the WKB approximation Lymphomatoid granulomatosis, a very rare lymphoproliferative disorder...
    2 KB (228 words) - 19:39, 3 June 2024
  • coefficients singlet state and triplet state adiabatic approximation Born–Oppenheimer approximation WKB approximation time-dependent perturbation theory time-independent...
    17 KB (2,522 words) - 18:09, 16 April 2025
  • Perturbation Theory Chapter 8: The Variational Principle Chapter 9: The WKB Approximation Chapter 10: Scattering Chapter 11: Quantum Dynamics Chapter 12: Afterword...
    6 KB (525 words) - 17:56, 24 May 2025
  • of these include the method of matched asymptotic expansions and WKB approximation for spatial problems, and in time, the Poincaré–Lindstedt method,...
    11 KB (1,779 words) - 17:50, 10 May 2025
  • Neitzke, Andrew (2013). "Wall-crossing, Hitchin systems, and the WKB approximation". Advances in Mathematics. 234: 239–403. arXiv:0907.3987. doi:10.1016/j...
    62 KB (7,721 words) - 19:58, 9 June 2025
  • Thumbnail for Path integral formulation
    the action of the trajectory through a potential barrier. Using the WKB approximation, the tunneling rate (Γ) can be determined to be of the form Γ = A...
    86 KB (14,277 words) - 08:57, 19 May 2025
  • Thumbnail for John William Strutt, 3rd Baron Rayleigh
    Virial theorem Waveguide (acoustics) Waveguide (radio frequency) WKB approximation "John Strutt (Lord Rayleigh)". Mathematics Genealogy Project. "Ri...
    27 KB (2,431 words) - 18:28, 7 June 2025
  • even of the above expansion in the Yukawa case with higher order WKB approximations. We can calculate the differential cross section between a proton...
    23 KB (4,263 words) - 12:00, 5 May 2025
  • arise in Floer homology. It appeared originally in the study of the WKB approximation and appears frequently in the study of quantization, quantum chaos...
    5 KB (713 words) - 23:31, 18 January 2023