Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have three particles: $x_0$ with mass $m$ and $x_1, x_2$ fermions with unitary mass. If I consider their free Hamiltonian I have $$H_0=-\frac{1}{2m}\Delta_{x_0}-\frac{1}{2}\Delta_{x_1}-\frac{1}{2}\Delta_{x_2}$$ acting on the space $$ \{f\in L^2(\mathbb{R}^9), f(x_0,x_1,x_2)=-f(x_0,x_2,x_1)\}$$ Is this operator selfadjoint in the domain $$D=\{f\in H^2(\mathbb{R}^9)|f(x_0,x_1,x_2)=-f(x_0,x_2,x_1)\}$$ ?

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.