Material volumes and material particles 2 Laws for material particles 3 Mass conservation 3 Newton’s law of (non-relativistic) linear motion 3 Newton’s law applied to angular momentum 4 First law of thermodynamics 4 Second law of thermodynamics 4 Laws for finite material volumes 5 Mass conservation 5 Motion (linear momentum) 5 Motion (angular momentum) 6 First law of thermodynamics 6 Second law...

The statistical mechanics of a linear noninteracting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This result is then compared to simulations done with a large number of noninteracting rigid links at fixed angular momentum. The simulation agrees with the theory u...

In most models and theoretical calculations describing multiphoton ionization by infrared light, the dipole approximation is used. This is equivalent to setting the very small photon momentum to zero. Using numerical solutions of the (nondipole) three-dimensional time-dependent Schrödinger equation for one-electron (H-like) systems, we investigate the effect the photon-momentum transfer to the ...

The six-degree equations of flight in their classic form do not provide a proper physical perception due to a number of interferences. Nor do they render visible the important role of attack angles. In this study, attempts have been made to develop a complete set of 3D acceleration equations from the equations of normal and tangential acceleration αN=vωv, αt=v ̇. For this purpose, a coordinate s...

the six-degree equations of flight in their classic form do not provide a proper physical perception due to a number of interferences. nor do they render visible the important role of attack angles. in this study, attempts have been made to develop a complete set of 3d acceleration equations from the equations of normal and tangential acceleration αn=vωv, αt=v ̇. for this purpose, a coordinate s...

An analytical expression of an Airy-Gauss beam passing through a fractional Fourier transform (FRFT) system is derived. The normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter of the Airy-Gauss beam are demonstrated in FRFT plane, respectively. The influence of the fractional order p on the normalized intensity d...

This research has been carried out to study and find a rather general description for a lone pairorbital in molecules. Since the orbital parameters must be manageable in advance, and correctgeometry of the molecule (bond lengths) is depend on the appropriate lone pair description; theFSGO method including optimization has been used to obtain orbital parameters and energy. Theproposed models for...