Role of rotational invariance in the properties of Hamiltonians Export

@article{citeulike:6047417, abstract = {Is it possible to prove that the properties of Hamiltonians, such as the ground-state energy, results of dynamical evolution, or thermal state expectation values, can be efficiently calculated when the Hamiltonians have physically motivated constraints such as translational or rotational invariance? We report that rotational invariance does not reduce the difficulty of finding the ground-state energy of the system. Crucially, the construction preserves the translational invariance of a Hamiltonian. The failure of the construction for the properties of thermal states at finite temperatures is discussed.}, author = {Kay, Alastair}, citeulike-article-id = {6047417}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLRAAN000080000004040301000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRA/v80/e040301}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevA.80.040301}, day = {2}, doi = {10.1103/PhysRevA.80.040301}, journal = {Physical Review A (Atomic, Molecular, and Optical Physics)}, keywords = {analytic, hamiltonian, invariance, model, property, rotational, symmetry}, month = {October}, number = {4}, pages = {040301+}, posted-at = {2009-10-31 07:40:23}, priority = {3}, publisher = {APS}, title = {Role of rotational invariance in the properties of Hamiltonians}, url = {http://dx.doi.org/10.1103/PhysRevA.80.040301}, volume = {80}, year = {2009} }

TY - JOUR ID - citeulike:6047417 L3 - citeulike-article-id:6047417 N2 - Is it possible to prove that the properties of Hamiltonians, such as the ground-state energy, results of dynamical evolution, or thermal state expectation values, can be efficiently calculated when the Hamiltonians have physically motivated constraints such as translational or rotational invariance? We report that rotational invariance does not reduce the difficulty of finding the ground-state energy of the system. Crucially, the construction preserves the translational invariance of a Hamiltonian. The failure of the construction for the properties of thermal states at finite temperatures is discussed. IS - 4 JF - Physical Review A (Atomic, Molecular, and Optical Physics) TI - Role of rotational invariance in the properties of Hamiltonians PB - APS VL - 80 SP - 040301 KW - analytic KW - hamiltonian KW - invariance KW - model KW - property KW - rotational KW - symmetry AU - Kay, Alastair PY - 2009/10/02/ UR - http://dx.doi.org/10.1103/PhysRevA.80.040301 ER -