Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Pizzo, Alessandro"'
Using the principles of the ETH - Approach to Quantum Mechanics we study fluorescence and the phenomenon of ``quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. In a limiting regime where the orbital motion o
Externí odkaz:
http://arxiv.org/abs/2404.10460
Two theorems with applications to the quantum theory of measurements are stated and proven. The first one clarifies and amends von Neumann's Measurement Postulate used in the Copenhagen interpretation of quantum mechanics. The second one clarifies th
Externí odkaz:
http://arxiv.org/abs/2312.00599
In this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our analysis is based on the \emph{local, iterative Lie Schwinger block-d
Externí odkaz:
http://arxiv.org/abs/2308.02811
It is shown that, for a class of Hamiltonians of XXZ chains in an external magnetic field that are small perturbations of an Ising Hamiltonian, the spectral gap above the ground-state energy remains strictly positive when the perturbation is turned o
Externí odkaz:
http://arxiv.org/abs/2306.02772
A proposal of how to complete non-relativistic quantum mechanics to a physically meaningful, mathematically precise and logically coherent theory is reviewed. Our proposal leads to a general, non-linear stochastic law for the time-evolution of states
Externí odkaz:
http://arxiv.org/abs/2303.11112
In this paper we extend the local iterative Lie-Schwinger block-diagonalization method - introduced in [DFPR3] for quantum lattice systems with bounded interactions in arbitrary dimension- to systems with unbounded interactions, i.e., systems of boso
Externí odkaz:
http://arxiv.org/abs/2108.13907
Autor:
Fröhlich, Jürg, Pizzo, Alessandro
It is argued that the Schr\"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events. A precise general law for the time evolution of states replacing the Sch
Externí odkaz:
http://arxiv.org/abs/2101.01044
Publikováno v:
J. Math. Phys. 63, 073503 (2022)
In this paper the local iterative Lie-Schwinger block-diagonalization method, introduced in [FP], [DFPR1], and [DFPR2] for quantum chains, is extended to higher-dimensional quantum lattice systems with Hamiltonians that can be written as the sum of a
Externí odkaz:
http://arxiv.org/abs/2007.07667
Autor:
Dybalski, Wojciech, Pizzo, Alessandro
We consider the massless Nelson model with two types of massive particles which we call atoms and electrons. The atoms interact with photons via an infrared regular form-factor and thus they are Wigner-type particles with sharp mass-shells. The elect
Externí odkaz:
http://arxiv.org/abs/1902.08799
Autor:
Froehlich, Juerg, Pizzo, Alessandro
We study quantum chains whose Hamiltonians are perturbations by bounded interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sites of the chain and has a strictly positive energy gap above its
Externí odkaz:
http://arxiv.org/abs/1812.02457