TOM 发表于 2025-3-25 06:48:06
Prologuediation field assumed characteristics describable in the complementary classical particle language. The ensuing theory of light quantum emission and absorption by atomic systems marked the beginning of quantum electrodynamics…晚来的提名 发表于 2025-3-25 08:47:02
Prologuelved promoting the fundamental dynamical variables of a corresponding classical system into operators with specified commutators. By this means, a system, described initially in classical particle language, acquires characteristics associated with the complementary classical wave picture. It was als椭圆 发表于 2025-3-25 13:42:03
The Power of Combinatoricse standard Boguliubov–Parasiuk–Hepp–Zimmermann (BPHZ) approach, the regularization of algebraic Feynman integrals is carried out by an iterative method which was invented by Bogoliubov in the 1950s. It was shown by Zimmermann in 1969 that Bogoliubov’s iterative method can be solved in a closed form微粒 发表于 2025-3-25 16:00:30
The Strategy of Equivalence Classes in Mathematicsindividual objects, we investigate the properties of classes. This is a simple, but extremely powerful general strategy. For example, the first systematic classification of plants and animals was developed by the Swedish biologist Carl von Linné (1707–1778). Baron de la Brède et de Montesquieu (1689率直 发表于 2025-3-25 22:13:58
http://reply.papertrans.cn/79/7812/781187/781187_25.pngDIKE 发表于 2025-3-26 03:44:41
The Basic Equations in Quantum Electrodynamicshanded orthonormal basis .,.,.. We also set .:=. where . denotes time. For the indices .,.=0,1,2,3, we set η.:= 1, η.= η.= η.:=-1, η.:= 0 ifμ≠ν along with .:=.. As usual, we use the .-symbol for lifting and lowering of indices.Kidney-Failure 发表于 2025-3-26 06:42:55
The Continuum Limitus Klein–Nishina formula in lowest order of perturbation theory. This formula can be established by physical experiments. In this connection, we argued as follows: We started with a lattice. Then we studied the three fundamental limits: .→+∞ (high-energy limit), .→+∞,Δ.→0 (low-energy limit), and .→+纹章 发表于 2025-3-26 12:11:13
http://reply.papertrans.cn/79/7812/781187/781187_28.png积习已深 发表于 2025-3-26 13:44:11
http://reply.papertrans.cn/79/7812/781187/781187_29.pngInterregnum 发表于 2025-3-26 16:48:35
The Power of Combinatoricsinverse of an appropriate Hopf algebra for Feynman graphs. This will be thoroughly studied later on. In this chapter, we only want to discuss some basic ideas about Hopf algebras and Rota–Baxter algebras.