ua nt - p h / 96 02 01 3 v 2 2 2 O ct 1 99 6 Self - Adjoint Extensions of the Pauli Equation in the Presence of a Magnetic Monopole

ua nt - p h / 96 02 01 3 v 1 1 8 Fe b 19 96 Self - Adjoint Extensions of the Pauli Equation in the Presence of a Magnetic Monopole

We discuss the Hamiltonian for a nonrelativistic electron with spin in the presence of a magnetic monopole and note that it is not self-adjoint in the lowest two angular momentum modes. We then use von Neumann's theory of self-adjoint extensions to construct a self-adjoint operator with the same functional form. In general, this operator will have eigenstates in which the lowest two angular mom...

ar X iv : q ua nt - p h / 96 03 01 0 v 1 8 M ar 1 99 6 The Edge Currents in IQHE

It is shown that an observed length in the potential drops across IQHE samples is a universal length for a given magnetic field strength which has the magnitude equal to the reciprocal magnitude of magnetic length and which results from the quantum mechanical uncertainty relation in presence of magnetic field. The analytic solution of Ohm's equation for the potential in Corbino sample in IQHE i...

ua nt - p h / 96 01 02 3 v 1 2 4 Ja n 19 96 CORRELATED LIGHT AND SCHRÖDINGER CATS

The Schrödinger cat male and female states are discussed. The Wigner and Q–functions of generalized correlated light are given. Linear transformator of photon statistics is reviewed.

ar X iv : q ua nt - p h / 96 10 03 9 v 1 2 5 O ct 1 99 6 A New Time - Scale for Tunneling

We study the tunneling through an oscillating delta barrier. Using time peri-odicity of the model, the time-dependent Schrödinger equation is reduced to a simple but infinite matrix equation. Employing Toeplitz matrices methods, the infinite matrix is replaces by a 3×3 matrix, allowing an analytical solution. Looking at the frequency dependence of the transmission amplitudes, one observes a new...

ua nt - p h / 01 01 02 8 v 2 6 J an 2 00 1 QUANTUM LOGICS