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Showing 2017 · math-phShow all
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math-ph2017★ 29 cited
Self-Adjointness of Dirac Operators with Infinite Mass Boundary Conditions in Sectors
Loïc Le Treust, Thomas Ourmières-Bonafos
This paper deals with the study of the two-dimensional Dirac operatorwith infinite mass boundary condition in a sector. We investigate the question ofself-adjointness depending on…
math-ph2017★ 7 cited
Bogoliubov quasi-averages: spontaneous symmetry breaking and algebra of fluctuations
Walter F. Wreszinski, Valentin A. Zagrebnov
The paper advocates the Bogoliubov method of quasi-averages for quantum systems. First, we elucidate its applications to study the phase transitions with Spontaneous Symmetry Break…
math-ph2017
Remarks on the operator-norm convergence of the Trotter product formula
Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov
We revise the operator-norm convergence of the Trotter product formula for a pair {A,B} of generators of semigroups on a Banach space. Operator-norm convergence holds true if the d…