Results 41 to 50 of about 504,986 (312)
The relativistic massless harmonic oscillator [PDF]
Phys.Rev.A81:012118,2010, 2010 A detailed study of the relativistic classical and quantum mechanics of the massless harmonic oscillator is presented.
arxiv +1 more source
Quantum Damped Harmonic Oscillator [PDF]
, 2013 In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state as an initial condition.
openaire +4 more sources
On a hidden symmetry of quantum harmonic oscillators [PDF]
Journal of Difference Equations and Applications, 2013 11 pages, 20 ...
Sergei K. Suslov +2 more
openaire +3 more sources
Equilibration of a dissipative quantum oscillator [PDF]
Ann. Phys. (Leipzig) 16, 319 (2007), 2006 An explicit demonstration is given of a harmonic oscillator in equilibrium approaching the equilibrium of a corresponding interacting system by coupling it to a thermal bath consisting of a continuum of harmonic oscillators.
arxiv +1 more source
Discretized representations of harmonic variables by bilateral Jacobi operators
Discrete Dynamics in Nature and Society, 2000 Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for
Andreas Ruffing
doaj +1 more source
Nuclear Physics B, 2022 We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time ‘t’ is also an operator.
Anwesha Chakraborty +2 more
doaj
Inverted oscillator: pseudo hermiticity and coherent states [PDF]
arXiv, 2022 It is known that the standard and the inverted harmonic oscillator are different. Replacing thus of {\omega} by i{\omega} in the regular oscillator is necessary going to give the inverted oscillator H^{r}. This replacement would lead to anti- PT-symmetric harmonic oscillator Hamiltonian (iH^{os}).
arxiv
The Quantum Harmonic Oscillator in the ESR Model [PDF]
Foundations of Physics, 2013 The ESR model proposes a new theoretical perspective which incorporates the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) in a noncontextual framework, reinterpreting quantum probabilities as conditional on detection instead of absolute.
openaire +6 more sources
Continuous-time quantum harmonic oscillator state engineering
New Journal of Physics, 2023 The center of mass motion of trapped ions and neutral atoms is suitable for approximation by a time-dependent driven quantum harmonic oscillator whose frequency and driving strength may be controlled with high precision.
E García Herrera +2 more
doaj +1 more source
Equivalence of quantum harmonic oscillators and classical oscillators subject to random forces [PDF]
arXiv, 2020 We show that the Schr\"{o}dinger equation for the quantum harmonic oscillator can be derived as an approximation to the Newtonian mechanics of a classical harmonic oscillator subject to a random force for time intervals $O( m / \hbar)$, when $\hbar / m \ll 1$.
arxiv