Mathematical Theory of Quantum Fields 2025 pdf epub mobi 用户评价 评分☆☆☆ Stone-von Neumann定理告诉我们,坐标动量对易关系的所有表示一定幺正等价于Schrodinger表象,因此Heisenberg的矩阵力学与Schrodinger的波动力学是等价的。到了无穷自由度系统,这一结论不再成立。Wightman的公理化量子场论框架从具体的表示出发...
(关心这种等价性证明的读者可以参阅、如GTM267。)Stone-von Neumann定理证明了,满足矩阵力学代数关系(由于坐标和动量算子一般而言是无界算子,需要对通常教科书上的对易关系做一些技术性的重写)的有限自由度系统,其表示一定与Schrodinger表示幺正等价。从这个意义上讲,矩阵力学与波动力学在有限自由度系统中是等价的。无论...
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Mathematical_Theory_Of_Quantum_Fields H Araki Oxford 1993 http://rapidshare.com/files/7515 ... ...
K. O. Fridrichs, “Mathematical aspects of the quantum theory of fields. V," Comm. Pure Appl. Math., 6, 1-72 (1953). Google Scholar B. Pareigis, “On Lie algebras in braided categories," in: Quantum Groups and Quantum Spaces, Banach Center Publications, 40 (1997), pp. 139-158...
First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems, the emphasis being on phase transitions. Applications inc.....
Theoretical and Mathematical Physics is an international peer-reviewed journal that covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. ...
He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), ...
Though the theory of functional equations is very old (some examples of functional equations appear in Oresme (1347, 1352), Napier (1614, 1617, 1620), Kepler (1624), Galileo (1968), Abel (1823, 1826b,a), etc …), it is not only technicians but many mathematicians too, who are still...
The Mathematical Apparatus for Quantum-Theories: Based on the Theory of Boolean Lattices Front Matter...Pages II-XI\nGeneral tribes (Boolean lattices)...Pages 1-44\nSpecial theorems on Boolean Lattices...Pages 44-130\nImportant auxiliaries...Pages 130-145\nGeneral theory of traces...Pages 14...