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Quantum theory of the damped harmonic oscillator

Physical Review A, 1990
The quantum theory of a damped harmonic oscillator is developed by considering an exactly solvable model, previously discussed by Unruh and Zurek [Phys. Rev. D 40, 1071 (1989)]. A one-dimensional harmonic oscillator is coupled to a scalar field. The field is assumed to be initially in thermal equilibrium.
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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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The Quantum Harmonic Oscillator

2018
The oscillator Hamiltonian in the coordinate representation is: $$\hat{H} = {p^{2} \over 2m} +\frac{1}{2} m \omega ^{2} x^{2}.$$
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A novel digital contents privacy scheme based on quantum harmonic oscillator and schrodinger paradox

Wireless networks, 2020
Abdullah A. Alghafis   +5 more
semanticscholar   +1 more source

Dissipation in Quantum Mechanics. The Harmonic Oscillator

Physical Review, 1960
The need for a quantum-mechanical formalism for systems with dissipation which is applicable to the radiation field of a cavity is discussed. Two methods that have been used in this connection are described. The first, which starts with the classical Newtonian equation of motion for a damped oscillator and applies the conventional formal quantization ...
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Quantum Harmonic Oscillator and Schrodinger Paradox Based Nonlinear Confusion Component

International Journal of Theoretical Physics, 2020
Sundas Tariq   +3 more
semanticscholar   +1 more source

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,
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Quantum guidelines for solid-state spin defects

Nature Reviews Materials, 2021
Gary Wolfowicz   +2 more
exaly  

Quantum Harmonic Oscillation and the quantum Multiverse

Introduces structured quantum oscillations at a universal level. The first serious discussion of Multiverse as harmonic oscillators.
Hilmir Frímann Halldórsson   +2 more
openaire   +1 more source

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan   +2 more
exaly  

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