We apply the exchange operator formalism in polar coordinates to a one-parameter family of three-body problems in one dimension and prove the integrability of the model both with and without the oscillator potential. We also present exact scattering solution of a new family of three-body problems in one dimension. PACS: 03.65.-w, 03.65.Ge, 03.65.Fd

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (H and He), where it is shown that the interaction reproduces the exact binding energy, regardless of the parameterization (number of oscillator quanta or value of the oscillator...

Frequency delta sigma modulation (FDSM) is a unique analog to digital conversion technique featuring large dynamic range with wide frequency band width. It can be used for high performance digital-output sensors, if the oscillator in FDSM replaced by variable whose depends on certain external physical quantity. One of most important parameters governing these sensors phase noise oscillator. The...

The Snyder-de Sitter model is an extension of the Snyder to a de background. It called triply special relativity (TSR) because it based on three fundamental parameters: speed light, Planck mass, and cosmological constant. In this paper, we study dimensional DKP oscillator for spin zero one in framework algebra momentum space. By using technique vector spherical harmonics energy spectrum corresp...

in this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the maclaurin series of the exact solution. nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. these equations equip a significant mathematical model for dynamical systems. the accuracy o...

patients and methods in 382 subjects admitted in the emergency department (ed), we evaluated maximal (volmax) and minimal (volmin) la volumes and la emptying fraction (la-ef), from rt-3d images, with a semiautomated border detection program. a follow-up was performed in order to evaluate all-cause mortality and new hospital admission for cardiovascular events. objectives aims of this study were...

heart failure (hf) is a condition due to a problem with the structure or function of the heart impairs its ability to supply sufficient blood flow to meet the body's needs. in developing countries, around 2% of adults suffer from heart failure, but in people over the age of 65, this rate increases to 6-10%. in iran, around 3.3% of adults suffer from heart failure. the health belief model (hbm) ...