A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …

Starting with the quantization of the Caldirola–Kanai Hamiltonian, various
phenomenological methods to treat the damped harmonic oscillator as a dissipative system …

The term'nonclassical states' refers to the quantum states that cannot be produced in the
usual sources of light, such as lasers or lamps, rather than those requiring more …

Three approaches to the calculation of Berry phases for periodic, but not necessarily
adiabatic, Hamiltonians are reviewed. These approaches all focus on different properties of …

We construct raising and lowering operators for certain orthonormal bases ofL2 (R n). These
bases consist of quantum mechanical wave packets that can be used to develop asymptotic …

Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent
perturbation Page 1 ANALYSIS & PDE msp Volume 11 No. 3 2018 DARIO BAMBUSI …

We eliminate by KAM methods the time dependence in a class of linear differential
equations in ℓ 2 subject to an unbounded, quasi-periodic forcing. This entails the pure-point …

We investigate a group B• that includes Artin's braid group B∞ and Thompson's group F.
The elements of B• are represented by braids diagrams in which the distances between the …

We solve the n-dimensional time dependent Schrodinger equation i~ 03A8~ t=-2014 AT+
V'P modulo errors which have L norms on the order of for arbitrary large 1. The initial …

We study the time evolution of N-level quantum systems under quasiperiodic time-
dependent perturbations. The problem is formulated in terms of the spectral properties of a …