Minimal Coupling and the Equivalence Principle in Quantum Mechanics Export

@article{citeulike:5002671, abstract = {The role of the Equivalence Principle (EP) in classical and quantum mechanics is reviewed. It is shown that the weak EP has a counterpart in quantum theory, a Quantum Equivalence Principle (QEP). This implies that also in the quantum domain the geometrization of the gravitational interaction is an operational procedure similar to the procedure in classical physics. This QEP can be used for showing that it is only the usual Schr\&\#246;dinger equation coupled to gravito--inertial fields which obeys our equivalence principle. In addition, the QEP applied to a generalized Pauli equation including spin results in a characterization of the gravitational fields which can be identified with the Newtonian potential and with torsion. Also, in the classical limit it is possible to state beside the usual EP for the path an EP for the spin which again may be used for introducing torsion as a gravitational field.}, archivePrefix = {arXiv}, author = {{lammerzahl}, C.}, citeulike-article-id = {5002671}, citeulike-linkout-0 = {http://arxiv.org/abs/gr-qc/9807072}, citeulike-linkout-1 = {http://arxiv.org/pdf/gr-qc/9807072}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1998AcPPB..29.1057L}, eprint = {gr-qc/9807072}, journal = {Acta Physica Polonica B}, keywords = {equivalence-principle, minimal-coupling, qm, relativity}, month = {April}, posted-at = {2009-06-28 21:12:42}, priority = {2}, title = {{Minimal Coupling and the Equivalence Principle in Quantum Mechanics}}, url = {http://arxiv.org/abs/gr-qc/9807072}, volume = {29}, year = {1998} }

TY - JOUR ID - citeulike:5002671 L3 - citeulike-article-id:5002671 N2 - The role of the Equivalence Principle (EP) in classical and quantum mechanics is reviewed. It is shown that the weak EP has a counterpart in quantum theory, a Quantum Equivalence Principle (QEP). This implies that also in the quantum domain the geometrization of the gravitational interaction is an operational procedure similar to the procedure in classical physics. This QEP can be used for showing that it is only the usual Schrödinger equation coupled to gravito--inertial fields which obeys our equivalence principle. In addition, the QEP applied to a generalized Pauli equation including spin results in a characterization of the gravitational fields which can be identified with the Newtonian potential and with torsion. Also, in the classical limit it is possible to state beside the usual EP for the path an EP for the spin which again may be used for introducing torsion as a gravitational field. JF - Acta Physica Polonica B TI - {Minimal Coupling and the Equivalence Principle in Quantum Mechanics} VL - 29 KW - equivalence-principle KW - minimal-coupling KW - qm KW - relativity AU - {lammerzahl}, C PY - 1998/April// UR - http://arxiv.org/abs/gr-qc/9807072 ER -