Results 251 to 260 of about 96,212 (277)

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, Gerhard Spitz, Wolfgang Lösch   +2 more
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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
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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.
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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.
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Quantum Theory of Harmonic Oscillator [PDF]

, 2010
The quantum theory of the harmonic oscillator is of particular importance for many reasons. In fact, harmonic forces are often present in nature and even more often used as model systems. Small oscillations about a point of stable equilibrium are described as independent harmonic oscillators, as we have seen in sect. 1.5.
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Foundations of Quantum Mechanics—The Harmonic Oscillator [PDF]

, 1979
This chapter, the longest in the book, introduces three of the basic assumptions of quantum mechanics and then illustrates them, using mainly the example of the harmonic oscillator. Though some historic remarks are included, neither the historic development nor any other heuristic way towards quantum mechanics is followed.
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Quantum guidelines for solid-state spin defects

Nature Reviews Materials, 2021
Gary Wolfowicz, F Joseph Heremans, Christopher P Anderson   +2 more
exaly  

The germanium quantum information route

Nature Reviews Materials, 2021
Giordano Scappucci, Christoph Kloeffel, Floris A Zwanenburg   +2 more
exaly  

A Note on the Quantum Rule of the Harmonic Oscillator

Physical Review, 1951
The purpose of the present note is to show, with the aid of an elementary example, that the commutation rules, which are usually given the rule of postulates in quantum mechanics, are in fact not arbitrary, provided that a more stringent definition of the Hilbert space and a strict expansion theorem are adopted.
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Materials challenges for trapped-ion quantum computers

Nature Reviews Materials, 2021
Kenneth R Brown, John Chiaverini, Jeremy M Sage   +2 more
exaly