All Questions
3
questions
4
votes
1
answer
145
views
Definition of ground state?
In quantum mechanics, a ground state is an eigenstate of the hamiltonian with the minimal eigenvalue and its existence is guaranteed by appropriate theorems.
At least that's how it's defined in ...
- 305
10
votes
1
answer
300
views
Is the failure of $\mathcal{B}(H)\simeq H\otimes H^*$ in infinite dimensions the reason for non-normal states in quantum information?
In the algebraic formulation of quantum physics/information, states $\omega: \mathcal{A}\rightarrow \mathbb{C}$ are defined as linear functionals on a $C^*$-algebra $\mathcal{A}$ (algebra of ...
- 211
3
votes
0
answers
697
views
$C^*$-algebras, von Neumann algebras, unbounded operators and quantum mechanics in connection
I am studying the theory of $C^*$-algebras, von Neumann algebras and unbounded operators in courses on Functional Analysis and Opertor Algebras. Now I want to apply this knowledge to (algebraic) ...
- 31