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Quantum theory of the damped harmonic oscillator
Physical Review A, 1990The 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, 1951The 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
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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A novel digital contents privacy scheme based on quantum harmonic oscillator and schrodinger paradox
Wireless networks, 2020Abdullah A. Alghafis +5 more
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Dissipation in Quantum Mechanics. The Harmonic Oscillator
Physical Review, 1960The 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, 2020Sundas Tariq +3 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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Quantum guidelines for solid-state spin defects
Nature Reviews Materials, 2021Gary Wolfowicz +2 more
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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
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
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