Results 281 to 290 of about 504,986 (312)

Targeted Polariton Flow Through Tailored Photonic Defects. [PDF]

open access: yesNanomaterials (Basel)
Rozas E   +8 more
europepmc   +1 more source

Quantum Delocalization of a Levitated Nanoparticle

open access: yes
Novotny L   +6 more
europepmc   +1 more source

The Quantum Harmonic Oscillator

2018
The oscillator Hamiltonian in the coordinate representation is: $$\hat{H} = {p^{2} \over 2m} +\frac{1}{2} m \omega ^{2} x^{2}.$$
openaire   +2 more sources

The Quantum Mechanical Harmonic Oscillator

1988
In Chap. 5 we have treated one-dimensional harmonic and anharmonic oscillations. The harmonic oscillation was characterised by the fact that the oscillation frequency did not depend on the amplitude of the displacement. If we had considered three-dimensional motion we should have found that for the harmonic oscillator all circular and elliptical orbits
Erich W. Schmid   +2 more
openaire   +2 more sources

Quantum-Mechanical Harmonic Oscillator

2018
Quantum-mechanical treatment of a harmonic oscillator has been a well-studied topic from the beginning of the history of quantum mechanics. This topic is a standard subject in classical mechanics as well. In this chapter, first we briefly survey characteristics of a classical harmonic oscillator.
openaire   +2 more sources

The quantum harmonic oscillator on a lattice

Journal of Physics A: Mathematical and General, 1986
The authors find the eigenvalue spectrum of a particle constrained to 'hop' between the sites of a simple cubic lattice in the presence of a spherically asymmetric 'harmonic oscillator' potential. The eigenfunctions are found to be given in terms of the periodic Mathieu functions of period pi .
J. P. Gallinar, G Mata, E R Chalbaud
openaire   +2 more sources

The quantum damped harmonic oscillator

Physics Reports, 2002
Abstract Starting with the quantization of the Caldirola–Kanai Hamiltonian, various phenomenological methods to treat the damped harmonic oscillator as a dissipative system are reviewed in detail. We show that the path integral method yields the exact quantum theory of the Caldirola–Kanai Hamiltonian without violation of Heisenberg's uncertainty ...
C. I. Um   +2 more
openaire   +2 more sources

Quantum kinematics of the harmonic oscillator

Journal of Mathematical Physics, 1986
The formalism of non-Abelian quantum kinematics is applied to the Newtonian symmetry group of the harmonic oscillator. Within the regular ray representation of the group, the Schrödinger operator, as well as two other (new) invariant operators, are obtained as Casimir operators of the extended kinematic algebra. Superselection rules are then introduced,
openaire   +2 more sources

Measuring the quantum harmonic oscillator

Frontiers in Optics 2010/Laser Science XXVI, 2010
By coupling a superconducting quantum bit to microwave electromagnetic and mechanical resonators, we can demonstrably achieve the resonators’ quantum ground states, and create photon and phonon Fock states, and arbitrary superpositions of photon Fock states.
openaire   +2 more sources

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