3 citations · 7 across the 20 of their papers we have counts for
20 papers
symmetry in quantum spin chain ground states and Haldane's conjecture
Anilesh Mohari
In this paper, we prove that any translation and $SU_2(\IC)$-invariant pure state of $\IM=\otimes_{k \in \IZ}\!M^{(k)}_d(\IC)$, that is also real, lattice symmetric and reflection…
Translation invariant state and its mean entropy-I
Anilesh Mohari
Let $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ be the two sided infinite tensor product -algebra of dimensional matrices $\!M^{(n)}(\IC)=\!M_d(\IC)$ over the field of comple…
Translation invariant pure state on $\otimes_{\IZ}/!M_d(\IC)$ and Haag duality
Anilesh Mohari
We prove Haag duality property of any translation invariant pure state on $\clb = \otimes_{\IZ}/!M_d(\IC), \;d \ge 2$, where $/!M_d(\IC)$ is the set of dimensional mat…
Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property
Anilesh Mohari
We prove that a real lattice symmetric reflection positive translation invariant pure state of $\clb=\otimes_{\IZ}M_d(\IC)$ is a split state if its two points spatial correlations…
Isomorphism theorem for Kolmogorov states of $\clb = \dsp{\otimes_{j \in \IZ}}\!M^{(j)}_d(\IC)$
Anilesh Mohari
We consider the translation dynamics on the -algebra $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ of two sided infinite tensor product of dimensional matrices $\!M^{(n)}(\IC)=…
Hann-Banach-Arveson extension theorem and Kadison isomorphism
Anilesh Mohari
Let $C^*(\cls)$ be the algebra generated by an operator system $\cls$ i.e. a unital -closed subspace of a unital algebra $\cla$. We prove that any complete order iso…