次要 发表于 2025-3-21 18:58:42

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喊叫 发表于 2025-3-21 20:54:28

More on Matricesentiable function . of a square matrix obeying the functional equation .(.).(.) = .(.) vanishes identically, or is a power of the superdeterminant. (3) The Berezinian of matrices with linearly dependent matrix elements is determined.

极少 发表于 2025-3-22 02:12:50

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sed-rate 发表于 2025-3-22 06:37:59

Path Integrals for Fermions and Bosonss of the commutation relations and in the fact that bosonic states can be arbitrarily often occupied, whereas fermionic states allow only single occupation or no occupation. Consequently, bosons are described by commuting fields, and fermions by anticommuting fields. This formulation can be used for

抛物线 发表于 2025-3-22 09:01:11

Dimers in Two Dimensionsd vertical directions. The question is: In how many different ways can the edges be covered by dimers so that, at each lattice point, exactly one edge is covered by a dimer. This dimer problem can be solved for a plain lattice, if no edges cross each other. As examples, we consider the square lattic

infantile 发表于 2025-3-22 13:53:51

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离开可分裂 发表于 2025-3-22 18:11:55

Integral Theorems for the (Unitary-)Orthosymplectic Groupced by cancelling equal numbers of even and odd components. We have to determine the form of the functions invariant under these groups for the smallest non-trivial cases and their integral. Generalization to several vectors and matrices and to those with more components is performed as for the supe

maudtin 发表于 2025-3-23 00:18:43

More on Matrices for matrices with linearly dependent matrix elements. We find (1) If the ordinary part of a supermatrix is not degenerate, then it can be diagonalized by a similarity transformation. If it is degenerate, then even if it is hermitian, it can normally not be diagonalized. However, superreal hermitian

Glycogen 发表于 2025-3-23 04:01:39

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Adrenaline 发表于 2025-3-23 09:13:00

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查看完整版本: Titlebook: Supermathematics and its Applications in Statistical Physics; Grassmann Variables Franz Wegner Book 2016 Springer-Verlag Berlin Heidelberg