12 citations · 30 across the 8 of their papers we have counts for
9 papers
Variants of the Quantum Phase Operator for the Harmonic Oscillator
Bogdan D. Djordjevic, Nikolay A. Ivanov
We introduce and study quantum phase operators associated with the Quantum Harmonic Oscillator (QHO). We show that these operators are trace-class perturbations of the Susskind-Glo…
Two Families of Examples of Groups Acting on Trees with Nontrivial Quasi-Kernels
Nikolay A. Ivanov
We introduce two families of examples of groups acting on trees, one consisting of group amalgamations and the other consisting of HNN-extensions, motivated by the problems of $C^*…
C*-simplicity of HNN extensions and groups acting on trees
Rasmus Sylvester Bryder, Nikolay A. Ivanov, Tron Omland
We study non-ascending HNN extensions acting on their Bass-Serre trees, and characterize C*-simplicity and the unique trace property by means of the kernel and quasi-kernels of the…
C*-simplicity of free products with amalgamation and radical classes of groups
Nikolay A. Ivanov, Tron Omland
We give new characterizations to ensure that a free product of groups with amalgamation has a simple reduced group C*-algebra, and provide a concrete example of an amalgam with tri…
Some Remarks on Noncommutative Instantons
Nikolay A. Ivanov
We make some comments on noncommutative -instantons on . We elaborate on the equations for the ASD-connection for free modules. Further we make some remarks o…
A system of relational syllogistic incorporating full Boolean reasoning
Nikolay Ivanov, Dimiter Vakarelov
We present a system of relational syllogistic, based on classical propositional logic, having primitives of the following form: Some A are R-related to some B; Some A are R-related…