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We use the Wentzel-Kramers-Brillouin (WKB) approximation to study theformation and propagation of bound states in the vicinity of a wormhole in thenon-minimal derivative coupling theory of gravity. The wormhole throat connectstwo Anti-de Sitter spacetimes. We show that when the scalar field lies in highorbital states, the corresponding potential has potential barriers that blockthe passage of a classical field. We investigate the behaviour of the boundstates trapped in the potential wells and provide the flow between the two AdSregions.

Formation of Bound States of scalar fields in AdS-asymptotic Wormholes