An Introduction to Second Quantization
نویسنده
چکیده
The idea is pretty similar to the idea of extension from 1-dimension to 2-dimensions. A point in 1-dimension is represented in R as x or y. If we take two copies of R, we get the space R ⊗ R in which we can represent a 2-dimensional point i.e. we go from x → (x, y). The operation ⊗ is known as direct product. Let us now examine how we can write a two particle state using two single particle states |1〉, |2〉. Suppose the particle 1 is in the state |1〉 and particle 2 is in the state |2〉. Using the above idea, we can straight away write a state |1〉 ⊗ |2〉 in H⊗H. What is the meaning of this state? 〈r1, r2| |1〉 ⊗ |2〉 = 〈r1|1〉〈r2|2〉 = φ(r1)φ(r2) (1)
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تاریخ انتشار 2010