We revisit the problem of characterizing band topology in dynamically-stable quadratic bosonic Hamiltonians that do not conserve particle number. show this can be rigorously addressed by a smooth and local adiabatic mapping procedure to number conserving Hamiltonian. In contrast generic fermionic pairing Hamiltonian, such always constructed for bosons. Our approach shows non-conserving classifi...

In this paper, we further generalize the technique for constructing the normal (or positive definite) and skew-Hermitian splitting iteration method for solving large sparse nonHermitian positive definite system of linear equations. By introducing a new splitting, we establish a class of efficient iteration methods, called positive definite and semi-definite splitting (PPS) methods, and prove th...

We use some Lie group theory and Budney’s unitarization of the Lawrence-Krammer representation, to prove that for generic parameters of definite form the image of the representation (also on certain types of subgroups) is dense in the unitary group. This implies that, except possibly for closures of full-twist braids, all links have infinitely many conjugacy classes of braid representations on ...

The present study explored the rhetorical representation of authorial identity signaled by interactive/interactional metadiscourse strategies and integral/non-integral citation patterns in international and Iranian local research article discussion sections. The study also explored variation in metadiscourse and citation resources across three subdisciplines of Language Testing, English Languag...

Written German is characterized by an underrepresentation of prosody. During writing acquisition, children have to tackle the question which prosodic features are realized by what means - if any. We examined traces of speech prosody in German children's writing to dictation. A sample of 79 second graders were asked to write down eight sentences to dictation. We analyzed three potential reflecti...