Coherent states in complex systems have traditionally demanded extensive computation or relied upon approximations that struggle with irregular boundaries. Now, a new mathematical technique offers an alternative by constructing these states without explicitly calculating eigenstates for certain geometries. This allows analytical solutions, utilising established functions like those of Jacobi and Riemann, for quantum billiards including one-dimensional wells and Coxeter shapes.
Hse University Proposes New Coherent State Construction for Billiards
Coherent states in complex systems have traditionally demanded extensive computation or relied upon approximations that struggle with irregular boundaries. Now, a new mathematical technique offers an alternative by constructing these states without explicitly calculating eigenstates for certain geometries. This allows analytical solutions, utilising established functions like those of Jacobi and Riemann, for quantum billiards including one-dimensional wells and Coxeter shapes.