Ultra-Relativistic Hamiltonian with Various Singular Potentials
نویسنده
چکیده
It is shown from a simple scaling invariance that the ultra-relativistic Hamiltonian (μ=0) does not have bound states when the potential is Coulombic. This supplements the application of the relativistic virial theorem derived by Lucha and Schöberl [1,2] which shows that bound states do not exist for potentials more singular than the Coulomb potential. PACS numbers:03.65.Ge, 12.39.Ki, 12.39.Pn Typeset using REVTEX 1 The relativistic generalization of the Schrödinger equation (RSE)
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تاریخ انتشار 1999