晚来的提名
发表于 2025-3-28 18:22:33
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蛤肉
发表于 2025-3-28 19:25:00
https://doi.org/10.1007/978-3-642-22421-8elementary particle physics; gauge theory; quantum field theory; partial differential equations
小歌剧
发表于 2025-3-29 02:42:02
The Euclidean Space ,, (Hilbert Space and Lie Algebra Structure),One has to distinguish between . The Euclidean space .. is a real 3-dimensional Hilbert space equipped with the inner product . of vectors .,.. Additionally, the Euclidean space .. is a Lie algebra equipped with the vector product
growth-factor
发表于 2025-3-29 03:33:44
Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra),Operator algebras play a fundamental role in algebraic quantum field theory. In order to understand this, one has first to understand the crucial algebraic structures of the Euclidean space. The point is that relevant products possess an invariant meaning, that is, they are independent of the choice of a basis of the Euclidean space.
Adj异类的
发表于 2025-3-29 09:53:58
Representations of Symmetries in Mathematics and Physics, and Elementary Particles,The representation of symmetry groups plays a crucial role in physics. In this chapter we discuss the elements of the representation theory of Lie groups and Lie algebras. In particular, we apply representations of the Lie group .(3) and the Lie algebra .(3) to the quark model in strong interaction.
Ablation
发表于 2025-3-29 14:06:18
Infinitesimal Rotations and Constraints in Physics,The operator .:..→.. is called unitary iff it is linear and it respects the inner product, that is, . The symbol .(..) denotes the set of all unitary operators .:..→... We have . In fact, it follows from (6.1) that . Hence ...=.. Conversely, ...=. implies (6.1). . In fact, .=... implies 1=det .=det ..det .=(det .).det .=|det .|..
Eructation
发表于 2025-3-29 15:58:56
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incontinence
发表于 2025-3-29 20:48:15
Velocity Vector Fields on the Euclidean Manifold ,,We want to study vector fields . on the 3-dimensional Euclidean manifold .. For example, this concerns velocity vector fields or force fields like . We will frequently use the intuitive picture of the velocity vector field of a fluid. For such vector fields . on ., one has to distinguish between
Incisor
发表于 2025-3-29 23:53:55
The Commutative Weyl ,(1)-Gauge Theory and the Electromagnetic Field,In what follows, we will consider the following two transformations: . Our final goal is to establish a mathematical formalism which is invariant under both transformations.
CT-angiography
发表于 2025-3-30 04:25:49
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