Question

I have the wave functions in position representation (sine) for two particles in a box separately. Now these two particles are fermions, and I want to write an antisymmetric pair:

(|ψ_1⟩|ψ_2⟩−|ψ_2⟩|ψ_1⟩)/√2

How am I able to do it? Is it a integral?

Answer 1

To write an antisymmetric pair of wave functions for two fermions, take the product of the two wave functions and then subtract the product of the second wave function and the first wave function. Divide the resulting expression by the square root of 2. No integral is required.

Step-by-step explanation:

To write an antisymmetric pair of wave functions for two fermions, we need to take the product of the two wave functions, then subtract the product of the second wave function and the first wave function.

The resulting expression can then be divided by the square root of 2. The integral is not necessary in this case.