بسم الله الرحمن الرحيم
والصلاة والسلام على رسول الله
"محمد بن عبدالله"
وعلى آله وصحبه أجمعين
السلام عليكم ورحمة الله وبركاته
إخواني زوار وأعضاء ومشرفي المنتدى الكرام
حياكم الله وبياكم وجعل الفردوس مثواي ومثواكم
Lecture on the WKB Approximation
The WKB, or BWK, or WBK, or BWKJ (The name is an acronym for Wentzel–Kramers–Brillouin approximation. Other often-used acronyms for the method include JWKB approximation and WKBJ approximation, where the "J" stands for Jeffreys), or adiabatic, or semiclassical, or phase integral approximation or method, is known under more names than any confidence man. It approximates a real Schr?dinger wave function by a sinusoidal oscillation whose phase is given by the space integral of the classical momentum, the phase integral, and whose amplitude varies inversely as the fourth root of the classical momentum. This approximation was already known for the physical waves of optics and acoustics, and was quickly applied to the new Schr?dinger
"probability" waves
The new quantum theory that was introduced by Planck, Bohr and Sommerfeld after the turn of the 20th century, now the "old" quantum theory, was based on classical (Newtonian) mechanics supplemented by arbitrary postulates. These new postulates were completely absurd, but nevertheless explained a great deal of surprising phenomena, such as the black-body thermal radiation spectrum, the line spectra of hydrogen, Compton scattering, Landé’s vector model, and the principal aspects of the photoelectric effect. The principal tool of this analysis was the "correspondence principle" that the large-scale behavior of quantum systems agreed with classical analysis. Much use was also made of advanced mechanics, such as Hamiltonian theory. Nevertheless, arbitrariness of the quantum postulates, and lack of progress in understanding more complex systems, created a hunger for a better theory
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وصلي اللهم وبارك على نبي الرحمة سيد ولد أدم أبى القاسم "محمد بن عبد الله" وعلى آله الطيبين الطاهرين وعلى أصحابه الغر الميامين وسلم تسليماً كثيراً
لا تنسونا من صالح دعائكم
رد مع اقتباس
مواقع النشر (المفضلة)