Invariant neural network ansatz for weakly symmetric open quantum lattices

Variational ansatz for PT-symmetric quantum mechanics

A variational calculation of the energy levels of the class of PT-invariant quantum mechanical models described by the 2 Ž .N non-Hermitian Hamiltonian Hsp y ix with N positive and x complex is presented. The energy levels are determined 2 :Ž . Ž Ž . Ž .. Ž 2Ž .. Ž . by finding the stationary points of the functional H a,b,c ' H dx c x Hc x r H dx c x , where c x s C C b c Ž . ix exp a ix is a ...

Invariant Differential Operators for Quantum Symmetric Spaces, II

The two papers in this series analyze quantum invariant differential operators for quantum symmetric spaces in the maximally split case. In this paper, we complete the proof of a quantum version of Harish-Chandra’s theorem: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and a ring of Laurent polynomial invariants with resp...

Invariant measure for an infinite neural network

Some properties of b-weakly compact operators on Banach lattices

In this paper we give some necessary and sufficient conditions for which each Banach lattice  is    space and we study some properties of b-weakly compact operators from a Banach lattice  into a Banach space . We show that every weakly compact operator from a Banach lattice  into a Banach space  is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove ...

quantum-algebra-invariant open spin chains

We determine the eigenvalues of the transfer matrices for integrable open quantum spin chains which are associated with the affine Lie algebras A (2) 2n−1, B (1) n ,C (1) n , D (1) n , and which have the quantum-algebra invariance Uq(Cn), Uq(Bn), Uq(Cn), Uq(Dn), respectively. Physics Department, Bonn University, Nussallee 12, D-53115 Bonn, Germany Permanent address: Physics Department, Universi...