We consider formal quantum Hamiltonian of a charged particle on the Poincaré disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this Hamiltonian admits a four-parameter family of self-adjoint extensions. Its resolvent and the density of states are calculated for natural values of the extension parameters
The Aharonov–Bohm Hamiltonian is the energy operator which governs quantum particles moving in a sol...
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-param...
Self-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous fa...
International audienceWe consider formal quantum Hamiltonian of a charged particle on the Poincaré d...
We study the Aharonov-Bohm effect model by adding a scalar potential in the initial Hamiltonian. Usi...
We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particle...
Abstract. We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter famil...
We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter family of self-...
We consider the Dirac equation in the magnetic-solenoid field (the field of a solenoid and a colline...
We study the Hamiltonian describing two anyons moving in a plane in the presence of an external magn...
In this dissertation, we study the influence of the Aharonov-Bohm-Coulomb (ABC) system on the relati...
One of the biggest problem in the mathematical modeling of the Aharonov- Bohm Effect is the interact...
We study the problem of a Dirac field in the background of an Aharonov–Bohm flux string. We exclude ...
This study is about a magnetic Hamiltonian with axisymmetric potential in R3. The associated magneti...
By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hami...
The Aharonov–Bohm Hamiltonian is the energy operator which governs quantum particles moving in a sol...
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-param...
Self-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous fa...
International audienceWe consider formal quantum Hamiltonian of a charged particle on the Poincaré d...
We study the Aharonov-Bohm effect model by adding a scalar potential in the initial Hamiltonian. Usi...
We consider the problem of self-adjoint extension of Hamilton operators for charged quantum particle...
Abstract. We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter famil...
We show that the Aharonov-Bohm Hamiltonian considered on a disc has a four-parameter family of self-...
We consider the Dirac equation in the magnetic-solenoid field (the field of a solenoid and a colline...
We study the Hamiltonian describing two anyons moving in a plane in the presence of an external magn...
In this dissertation, we study the influence of the Aharonov-Bohm-Coulomb (ABC) system on the relati...
One of the biggest problem in the mathematical modeling of the Aharonov- Bohm Effect is the interact...
We study the problem of a Dirac field in the background of an Aharonov–Bohm flux string. We exclude ...
This study is about a magnetic Hamiltonian with axisymmetric potential in R3. The associated magneti...
By using the spherical coordinates in 3+1 dimensions we study the self-adjointness of the Dirac Hami...
The Aharonov–Bohm Hamiltonian is the energy operator which governs quantum particles moving in a sol...
A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-param...
Self-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous fa...