Complexified quantum rules
نویسندگان
چکیده
منابع مشابه
Complexified quantum rules
Hère is a short account of papers published earlier in Russian. We formulate a généralisation of well-known quantization rules by Bohr-Sommerfeld-Einstein-Keller-Maslov by adding terms which describe the tunneling of energy. This enables us to obtain im agi nar y radiational corrections to eigenvalues in the case of open Systems as well as an exponentially small splittings of eigenvalues in Sys...
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The quantum integer [n]q is the polynomial 1+q+q+ · · ·+q. Two sequences of polynomials U = {un(q)}∞n=1 and V = {vn(q)} ∞ n=1 define a linear addition rule ⊕ on a sequence F = {fn(q)}∞n=1 by fm(q) ⊕ fn(q) = un(q)fm(q)+vm(q)fn(q). This is called a quantum addition rule if [m]q⊕[n]q = [m + n]q for all positive integers m and n. In this paper all linear quantum addition rules are determined, and a...
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ژورنال
عنوان ژورنال: Séminaire de théorie spectrale et géométrie
سال: 1993
ISSN: 2118-9242
DOI: 10.5802/tsg.136