Add to ORKGBased on earlier work on regular quantum graphs we show that a large class of scaling quantum graphs with arbitrary topology are explicitly analytically solvable. This is surprising since quantum graphs are excellent models of quantum chaos and quantum chaotic systems are not usually explicitly analytically solvable
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of reg...
We construct models of exactly solvable two-particle quantum graphs with certain non-local two-parti...
We study the Schr\"{o}dinger operators on a non-compact star graph with the Coulomb-type potentials ...
We show that all scaling quantum graphs are explicitly integrable, i.e. any one of their spectral ei...
We show that scaling quantum graphs with arbitrary topology are explicitly analytically solvable. Th...
We present quantum graphs with remarkably regular spectral characteristics. We call them {\it regula...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We show that all scaling quantum graphs are explicitly integrable, i.e., that any one of their spect...
We identify a set of quantum graphs with unique and precisely defined spectral properties called reg...
We present quantum graphs with remarkably regular spectral characteristics. We call them regular qua...
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of reg...
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is u...
We consider a class of simple quasi one-dimensional classically non-integrable systems which capture...
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distribu...
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of reg...
We construct models of exactly solvable two-particle quantum graphs with certain non-local two-parti...
We study the Schr\"{o}dinger operators on a non-compact star graph with the Coulomb-type potentials ...
We show that all scaling quantum graphs are explicitly integrable, i.e. any one of their spectral ei...
We show that scaling quantum graphs with arbitrary topology are explicitly analytically solvable. Th...
We present quantum graphs with remarkably regular spectral characteristics. We call them {\it regula...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We show that all scaling quantum graphs are explicitly integrable, i.e., that any one of their spect...
We identify a set of quantum graphs with unique and precisely defined spectral properties called reg...
We present quantum graphs with remarkably regular spectral characteristics. We call them regular qua...
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of reg...
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is u...
We consider a class of simple quasi one-dimensional classically non-integrable systems which capture...
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distribu...
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of reg...
We construct models of exactly solvable two-particle quantum graphs with certain non-local two-parti...
We study the Schr\"{o}dinger operators on a non-compact star graph with the Coulomb-type potentials ...