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Predictor-corrector methods for a linear stochastic oscillator with additive noise
predictor-corrector method linear stochastic oscillator symplecticity stochastic Hamil-tonian system second moment mean-square convergence
2012/8/7
The predictor-corrector methods P(EC)k with equidistant discretization are applied to the nu-
merical integration of a linear stochastic oscillator. Their ability in preserving the symplecticity, the...
Sub-femtosecond absolute timing precision with a 10 GHz hybrid photonic-microwave oscillator
Sub-femtosecond absolute timing precision optics
2012/5/29
We present an optical-electronic approach to generating microwave signals with high spectral purity. By circumventing shot noise and operating near fundamental thermal limits, we demonstrate 10 GHz si...
视频:南京大学大学物理学第41讲 Simple harmonic oscillator。
Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
An Invertible Linearization Map for the Quartic Oscillator
Invertible Linearization Map the Quartic Oscillator Mathematical Physics
2012/4/23
The set of world lines for the non-relativistic quartic oscillator satisfying Newton's equation of motion for all space and time in 1-1 dimensions with no constraints other than the "spring" restoring...
Locking Local Oscillator Phase to the Atomic Phase via Weak Measurement
Locking Local Oscillator Atomic Phase Weak Measurement
2011/8/11
Abstract: We propose a new method to reduce the frequency noise of a Local Oscillator (LO) to the level of white phase noise by maintaining (not destroying by projective measurement) the coherence of ...
Opto-Acoustic Oscillator Using Silicon Mems Optical Modulator
Opto-Acoustic Oscillator MEMS based Optical Modulator RF MEMS resonator Optomechanics
2011/8/5
Abstract: We show operation of a silicon MEMS based narrow-band optical modulator with large modulation depth by improving the electro-mechanical transducer. We demonstrate an application of the narro...
Golden Quantum Oscillator and Binet-Fibonacci Calculus
Golden Quantum Oscillator Binet-Fibonacci Calculus Quantum Algebra
2011/9/19
Abstract: The Binet-Fibonacci formula for Fibonacci numbers is treated as a q-number (and q-operator) with Golden ratio bases $q=\phi$ and $Q=-1/\phi$. Quantum harmonic oscillator for this Golden calc...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
An X-Ray Free Electron Laser Oscillator with Intermediate Energy Electron Beam
X-Ray Free Electron Laser Oscillator Intermediate Energy Electron Beam
2011/8/4
Abstract: Harmonic lasing of low-gain free electron laser oscillator has been experimentally demonstrated in terahertz and infrared region. Recently, together with the high-reflectivity high-resolutio...
A semiclassical heat trace expansion for the perturbed harmonic oscillator
semiclassical heat trace expansion the perturbed harmonic oscillator Spectral Theory
2011/9/9
Abstract: In this paper we study a semiclassical heat trace expansion for perturbations of the harmonic oscillator, by adapting to the semiclassical setting techniques developed by Hitrik and Polterov...
q-damped Oscillator and degenerate roots of constant coefficients q-difference ODE
q-damped Oscillator degenerate roots coefficients q-difference ODE
2011/9/5
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
Pseudospectral Calculation of Helium Wave Functions, Expectation Values, and Oscillator Strength
Pseudospectral Calculation Helium Wave Function Expectation Values Oscillator Strength
2011/8/4
Pseudospectral Calculation of Helium Wave Functions, Expectation Values, and Oscillator Strength.
Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Higher derivative theories ghosts indefinite metric Pais-Uhlenbeck Oscillator
2011/9/30
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
Low phase noise diode laser oscillator for 1S-2S spectroscopy in atomic hydrogen
Low phase noise diode laser oscillator 1S-2S spectroscopy atomic hydrogen
2011/8/16
Abstract: We report on a low-noise diode laser oscillator at 972 nm actively stabilized to an ultra-stable vibrationally- and thermally compensated reference cavity. To increase the fraction of laser ...