用Wick演算实现玻色-费米子统一
Boson-Fermion unification implemented by Wick calculus
摘要：
我们构造了玻色-福克空间和费米-福克空间之间的一个超对称变换，即在一个固定的单粒子空间上把玻色场变换成费米场。该变换涉及单粒子空间的谱分裂为内部空间的连续直接积分。我们提出了一个理论的Fock空间上的平方积分函数采取的价值观，在这些内部空间，我们称之为一个威克演算：这是一个自然的推广理论的量子随机微积分，其中使用了一个单一的固定的内部空间。
英文摘要：
We construct a transformation between Bose Fock space and Fermi Fock space that is super-symmetric in the sense that it converts Boson fields into Fermi fields over a fixed one-particle space. The transformation involves the spectral splitting of the one-particle space into a continuous direct integral of internal spaces. We present a theory of integration on the Fock spaces over the square intergable functions taking values in these internal spaces which we refer to as a Wick calculus: this is a natural generalization of the theory of quantum stochastic calculus which used a single fixed internal space.
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