Schrödinger equations with time-dependent interactions are studied. We investigate how to define the Floquet Hamiltonian as a self-adjoint operator, when the interaction is singular in time or space. Using these results we establish the existence of a bounded propagator, by applying a result given by J Howland. <br/
In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an...
abstract: In the traditional setting of quantum mechanics, the Hamiltonian operator does not depend ...
We present new classes of time operators of a Hamiltonian H (a self-adjoint op-erator) with discrete...
We present some simple arguments to show that quantum mechanics operators are required to be self-ad...
AbstractWe prove that a unitary propagator U(t, s) for the time-dependent Schrödinger equation du/dt...
AbstractConsider the Floquet operator of a time independent quantum system, acting on a separable Hi...
For a class of singular potentials, including the Coulomb potential (in three and less dimensions) a...
For quantum systems of zero-range interaction we discuss the mathematical scheme within which modell...
We study a system of a quantum particle interacting with a singular timedependent uniformly rotatin...
Recently, we constructed an energy-dependent point interaction (EDPI) in its most general form in on...
AbstractA necessary and sufficient condition is given for the generalized Schrödinger operator A = −...
AbstractConsider the Floquet operator of a time-independent quantum system, periodically perturbed b...
The problem of existence of a self-adjoint time operator conjugate to a Hamiltonian with SU(1,1) dyn...
We study a system of a quantum particle interacting with a singular time-dependent uniformly rotatin...
Self-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous fa...
In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an...
abstract: In the traditional setting of quantum mechanics, the Hamiltonian operator does not depend ...
We present new classes of time operators of a Hamiltonian H (a self-adjoint op-erator) with discrete...
We present some simple arguments to show that quantum mechanics operators are required to be self-ad...
AbstractWe prove that a unitary propagator U(t, s) for the time-dependent Schrödinger equation du/dt...
AbstractConsider the Floquet operator of a time independent quantum system, acting on a separable Hi...
For a class of singular potentials, including the Coulomb potential (in three and less dimensions) a...
For quantum systems of zero-range interaction we discuss the mathematical scheme within which modell...
We study a system of a quantum particle interacting with a singular timedependent uniformly rotatin...
Recently, we constructed an energy-dependent point interaction (EDPI) in its most general form in on...
AbstractA necessary and sufficient condition is given for the generalized Schrödinger operator A = −...
AbstractConsider the Floquet operator of a time-independent quantum system, periodically perturbed b...
The problem of existence of a self-adjoint time operator conjugate to a Hamiltonian with SU(1,1) dyn...
We study a system of a quantum particle interacting with a singular time-dependent uniformly rotatin...
Self-adjointness of the time-independent Aharonov-Bohm Hamiltonian is shown to allow a continuous fa...
In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an...
abstract: In the traditional setting of quantum mechanics, the Hamiltonian operator does not depend ...
We present new classes of time operators of a Hamiltonian H (a self-adjoint op-erator) with discrete...
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