28 citations · 56 across the 8 of their papers we have counts for
9 papers
Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation
Phillip S. Isaac, Jon Links, Inna Lukyanenko +1
Let denote the weighted adjacency matrix of a balanced, symmetric, bipartite graph. We define a class of bosonic networks given by Hamiltonians whose hopping terms are determin…
An integrable case of the p+ip pairing Hamiltonian interacting with its environment
Inna Lukyanenko, Phillip S. Isaac, Jon Links
We consider a generalisation of the p+ip pairing Hamiltonian with external interaction terms. These terms allow for the exchange of particles between the system and its environment…
On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system
Inna Lukyanenko, Phillip Isaac, Jon Links
We discuss a generalised version of Sklyanin's Boundary Quantum Inverse Scattering Method applied to the spin-1/2, trigonometric sl(2) case, for which both the twisted-periodic and…
On a Probabilistic Interpretation of Relativistic Quantum Mechanics
Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko
A probabilistic interpretation of one-particle relativistic quantum mechanics is proposed. Quantum Action Principle formulated earlier is used for to make the dynamics of the Minko…
Quantum Action Principle in Relativistic Mechanics (II)
Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko
Quantum Action Principle formulated earlier is used as a ground for a probabilistic interpretation of one-particle relativistic quantum mechanics. In this new approach the probabil…
Two-Time Quantum Mechanics
Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko
A two-time quantum theory of a system of two particles with the direct electromagnetic interaction based on a quantum version of the action principle is considered. An analog of Sc…