Results 11 to 20 of about 165,267 (307)
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.
Fujii, Kazuyuki
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Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained.
C, David J. Fernández
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Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral [PDF]
European Physical Journal C: Particles and Fields, 2019 Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated.
W. da Silva, K. Bakke, R. Vitória
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Quantum dynamics of the damped harmonic oscillator [PDF]
New Journal of Physics, 2012 The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic oscillators as a reservoir.
T G Philbin
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The Bicomplex Quantum Harmonic Oscillator
arXiv: Mathematical Physics, 2010 The problem of the quantum harmonic oscillator is investigated in the framework of bicomplex numbers, which are pairs of complex numbers making up a commutative ring with zero divisors. Starting with the commutator of the bicomplex position and momentum operators, and adapting the algebraic treatment of the standard quantum harmonic oscillator, we find
Raphaël Gervais Lavoie +2 more
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The energy-critical quantum harmonic oscillator [PDF]
Communications in Partial Differential Equations, 2014 We consider the energy critical nonlinear Schrödinger equation in dimensions 3 and above with a harmonic oscillator potential. In the defocusing situation, we prove global wellposedness for all initial data in the energy space Σ. This extends a result of
Casey Jao
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Quantum Computation with Harmonic Oscillators
, 2000 4 pages, version as it appears in conference ...
Stephen D. Bartlett +3 more
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Quantum harmonic oscillator with superoscillating initial datum [PDF]
, 2014 In this paper, we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity ...
Roman V. Buniy +3 more
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials [PDF]
, 2013 We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic ...
David Gómez‐Ullate +2 more
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Quantum harmonic oscillator for dipoles
, 2012 This paper has been withdrawn by the authors due to a crucial approximation error in the first order approximation of the equation (4)
Cleverson Filgueiras +2 more
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