Edge states at phase boundaries and their stability
M Asorey, AP Balachandran… - … in Mathematical Physics, 2016 - World Scientific
We analyze the effects of Robin-like boundary conditions on different quantum field theories
of spin 0, 1/2 and 1 on manifolds with boundaries. In particular, we show that these …
of spin 0, 1/2 and 1 on manifolds with boundaries. In particular, we show that these …
Electro- and magnetostatics of topological insulators as modeled by planar, spherical, and cylindrical boundaries: Green's function approach
The Green's function method is used to analyze the boundary effects produced by a Chern-
Simons extension to electrodynamics. We consider the electromagnetic field coupled to a θ …
Simons extension to electrodynamics. We consider the electromagnetic field coupled to a θ …
Boundary conditions for the quantum Hall effect
We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip,
using boundary conditions to investigate the influence of finite-size effects on the Hall …
using boundary conditions to investigate the influence of finite-size effects on the Hall …
[HTML][HTML] On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
We study the stability of the Schrödinger equation generated by time-dependent
Hamiltonians with constant form domain. That is, we bound the difference between solutions …
Hamiltonians with constant form domain. That is, we bound the difference between solutions …
The topology and geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators
The theory of self-adjoint extensions of first-and second-order elliptic differential operators
on manifolds with boundary is studied via its most representative instances: Dirac and …
on manifolds with boundary is studied via its most representative instances: Dirac and …
Boundary effects in bosonic and fermionic field theories
M Asorey, D García-Alvarez… - International Journal of …, 2015 - World Scientific
The dynamics of quantum field theories on bounded domains requires the introduction of
boundary conditions on the quantum fields. We address the problem from a very general …
boundary conditions on the quantum fields. We address the problem from a very general …
Hearing the boundary conditions of the one-dimensional Dirac operator
G Angelone - arxiv preprint arxiv:2311.17561, 2023 - arxiv.org
We study the isospectrality problem for a relativistic free quantum particle, described by the
Dirac Hamiltonian, confined in a one-dimensional ring with a junction. We analyze all the …
Dirac Hamiltonian, confined in a one-dimensional ring with a junction. We analyze all the …
Edge observables of the Maxwell-Chern-Simons theory
We analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons
theory defined on a manifold with boundary for two different sets of boundary equations …
theory defined on a manifold with boundary for two different sets of boundary equations …
Boundary dynamics and topology change in quantum mechanics
We show how to use boundary conditions to drive the evolution on a quantum mechanical
system. We will see how this problem can be expressed in terms of a time-dependent …
system. We will see how this problem can be expressed in terms of a time-dependent …
On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics
This is a series of five lectures around the common subject of the construction of self-adjoint
extensions of symmetric operators and its applications to Quantum Physics. We will try to …
extensions of symmetric operators and its applications to Quantum Physics. We will try to …