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Targeted Polariton Flow Through Tailored Photonic Defects. [PDF]
Rozas E+8 more
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Simulating nonadiabatic dynamics in benzophenone: Tracing internal conversion through photoelectron spectra. [PDF]
Restaino L+2 more
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The Quantum Harmonic Oscillator
2018The oscillator Hamiltonian in the coordinate representation is: $$\hat{H} = {p^{2} \over 2m} +\frac{1}{2} m \omega ^{2} x^{2}.$$
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The Quantum Mechanical Harmonic Oscillator
1988In 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
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Quantum-Mechanical Harmonic Oscillator
2018Quantum-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.
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The quantum harmonic oscillator on a lattice
Journal of Physics A: Mathematical and General, 1986The 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
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The quantum damped harmonic oscillator
Physics Reports, 2002Abstract 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
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Quantum kinematics of the harmonic oscillator
Journal of Mathematical Physics, 1986The 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,
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Measuring the quantum harmonic oscillator
Frontiers in Optics 2010/Laser Science XXVI, 2010By 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.
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