A quantum-mechanical relaxation model

A quantum-mechanical relaxation model

Quantum mechanical Liouville model with attractive potential

We study the quantum mechanical Liouville model with attractive potential which is obtained by Hamiltonian symmetry reduction from the system of a free particle on SL(2,RI ). The classical reduced system consists of a pair of Liouville subsystems which are ‘glued together’ in such a way that the singularity of the Hamiltonian flow is regularized. It is shown that the quantum theory of this redu...

Quantum mechanical proton range in human body

Introduction: Proton therapy delivers radiation to tumor tissue in a much more confined way than conventional photon therapy thus allowing the radiation oncologist to use a greater dose while still minimizing side.   Materials and Methods: protons release most of their energy within the tumor region. As a result, the treating physician can potentially give an...

Towards a quantum-mechanical model for multispecies exclusion statistics

It is shown how to construct many-particle quantum-mechanical spectra of particles obeying multispecies exclusion statistics, both in one and in two dimensions. These spectra are derived from the generalized exclusion principle and yield the same thermodynamic quantities as deduced from Haldane’s multiplicity formula. PACS numbers: 03.65.-w, 05.30.-d, 05.70.Ce

Complex square well—a new exactly solvable quantum mechanical model

Recently, a class of PT -invariant quantum mechanical models described by the nonHermitian HamiltonianH = p2 + x2(ix) was studied. It was found that the energy levels for this theory are real for all > 0. Here, the limit as →∞ is examined. It is shown that in this limit, the theory becomes exactly solvable. A generalization of this Hamiltonian, H = p2 + x2M(ix) (M = 1, 2, 3, . . .) is also stud...