Results 11 to 20 of about 162,690 (325)
Quantum Damped Harmonic Oscillator [PDF]
, 2013 In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state as an initial condition.
Fujii, Kazuyuki
openaire +7 more sources
A discrete quantum model of the harmonic oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We construct a new model of the quantum oscillator, whose energy spectrum is equally-spaced and lower-bounded, whereas the spectra of position and momentum are a denumerable non-degenerate set of points in [-1,1] that depends on the deformation parameter q from (0,1). We provide its explicit wavefunctions, both in position and momentum representations,
Natig M. Atakishiyev +2 more
openalex +5 more sources
Description of ultrastrong light–matter interaction through coupled harmonic oscillator models and their connection with cavity-QED Hamiltonians [PDF]
NanophotonicsClassical coupled harmonic oscillator models are capable of describing the optical and infrared response of nanophotonic systems where a cavity photon couples to dipolar matter excitations. The distinct forms of coupling adopted in these classical models
Muniain Unai +4 more
doaj +2 more sources
Finite quantum kinematics of the harmonic oscillator [PDF]
Journal of Mathematical Physics, 2006 Arbitrarily small changes in the commutation relations suffice to transform the usual singular quantum theories into regular quantum theories. This process is an extension of canonical quantization that we call general quantization. Here we apply general quantization to the time-independent linear harmonic oscillator.
Mohsen Shiri-Garakani, David Finkelstein
openalex +4 more sources
The Bicomplex Quantum Harmonic Oscillator
arXiv: Mathematical Physics, 2010 The problem of the quantum harmonic oscillator is investigated in the framework of bicomplex numbers, which are pairs of complex numbers making up a commutative ring with zero divisors. Starting with the commutator of the bicomplex position and momentum operators, and adapting the algebraic treatment of the standard quantum harmonic oscillator, we find
Raphaël Gervais Lavoie +2 more
openalex +5 more sources
The energy-critical quantum harmonic oscillator [PDF]
Communications in Partial Differential Equations, 2014 We consider the energy critical nonlinear Schrödinger equation in dimensions 3 and above with a harmonic oscillator potential. In the defocusing situation, we prove global wellposedness for all initial data in the energy space Σ. This extends a result of
Casey Jao
semanticscholar +5 more sources
Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained.
David J. Fernández
doaj +5 more sources
Quantum Computation with Harmonic Oscillators
, 2000 4 pages, version as it appears in conference ...
Stephen D. Bartlett +3 more
openalex +4 more sources
Van der Waals interactions in density functional theory by combining the quantum harmonic oscillator-model with localized Wannier functions [PDF]
Journal of Chemical Physics, 2013 We present a new scheme to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the quantum harmonic oscillator model with the maximally localized Wannier function technique.
Pier Luigi Silvestrelli
openalex +3 more sources
Quantum harmonic oscillator with superoscillating initial datum [PDF]
, 2014 In this paper, we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity ...
Roman V. Buniy +3 more
openalex +3 more sources