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Exact Response Theory for Delay Equations. [PDF]
Gollinucci F, Ortu E, Rondoni L.
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The quantum harmonic oscillator and catalan's constant
Reports on Mathematical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabio Rinaldi +2 more
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Quantum solutions of the damped harmonic oscillator
American Journal of Physics, 1983Solutions to the Fokker–Planck equation for a damped harmonic oscillator corresponding to uniquely quantum-mechanical initial states with no classical correspondence are given.
Walls D F
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The Quantum Harmonic Oscillator
2023Abstract We consider the time-independent Schrödinger equation for the harmonic oscillator potential and determine its bound states and energy levels in one spatial dimension using two approaches: the algebraic and the analytic method. Using the former, we introduce ladder operators: the annihilation and creation operators, as well as ...
Reinhold A. Bertlmann, Nicolai Friis
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Linear chaos in the quantum harmonic oscillator
Journal of Systems Science and Complexity, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinxing Wu, Peiyong Zhu
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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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