Quantum hypervirial theorems |
| |
Affiliation: | 1. TRG, 5916 Old Greenway Drive, Glen Allen, VA 23059, USA;2. Department of Physics and Pre-Engineering, Delaware State University, Dover, DE 19901, USA |
| |
Abstract: | The quantum mechanical hypervirial theorems (HVT) are given by the expectation values of a commutator between the virial operator W and the system Hamiltonian H. We propose application of the HVT to testing and improving approximate solutions of the Schroedinger equations. This is especially relevant for scattering states, where simple testing criteria are not readily available. The HVT, with judicious choices for W, can provide a criterion to test the accuracy of approximate solutions, both for the bound excited states and scattering states, and also ways to determine an optimal set of parameter values as the wave function improves. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|