Interactions of Hermitian and non-Hermitian Hamiltonians Export

@misc{citeulike:1693007, abstract = {he coupling of non-Hermitian PT-symmetric Hamiltonians to standard Hermitian Hamiltonians, each of which individually has a real energy spectrum, is explored by means of a number of soluble models. It is found that in all cases the energy remains real for small values of the coupling constant, but becomes complex if the coupling becomes stronger than some critical value. For a quadratic non-Hermitian PT-symmetric Hamiltonian coupled to an arbitrary real Hermitian PT-symmetric Hamiltonian, the reality of the ground-state energy for small enough coupling constant is established up to second order in perturbation theory.}, archivePrefix = {arXiv}, author = {Bender, Carl M. and Jones, Hugh F.}, citeulike-article-id = {1693007}, citeulike-linkout-0 = {http://arxiv.org/abs/0709.3605}, citeulike-linkout-1 = {http://arxiv.org/pdf/0709.3605}, day = {22}, eprint = {0709.3605}, keywords = {non-hermitian\_hamiltonians}, month = {Sep}, posted-at = {2008-02-23 10:35:34}, priority = {2}, title = {Interactions of Hermitian and non-Hermitian Hamiltonians}, url = {http://arxiv.org/abs/0709.3605}, year = {2007} }

TY - ELEC ID - citeulike:1693007 L3 - citeulike-article-id:1693007 N2 - he coupling of non-Hermitian PT-symmetric Hamiltonians to standard Hermitian Hamiltonians, each of which individually has a real energy spectrum, is explored by means of a number of soluble models. It is found that in all cases the energy remains real for small values of the coupling constant, but becomes complex if the coupling becomes stronger than some critical value. For a quadratic non-Hermitian PT-symmetric Hamiltonian coupled to an arbitrary real Hermitian PT-symmetric Hamiltonian, the reality of the ground-state energy for small enough coupling constant is established up to second order in perturbation theory. TI - Interactions of Hermitian and non-Hermitian Hamiltonians KW - non-hermitian_hamiltonians AU - Bender, Carl AU - Jones, Hugh PY - 2007/Sep/22/ UR - http://arxiv.org/abs/0709.3605 ER -