This article illustrates the detection of 6 degrees of freedom (DOF) for Virtual Environment interactions using a modified simple laser pointer device and a camera. The laser pointer is combined with a diffraction grating to project a unique laser grid onto the projection planes used in projection-based immersive VR setups. The distortion of the projected grid is used to calculate the translati...

The association of two species to form a bound complex, e.g., the binding of a ligand to a protein or the adsorption of a peptide on a lipid membrane, involves an entropy loss, reflecting the conversion of free translational and rotational degrees of freedom into bound motions. Previous theoretical estimates of the standard entropy change in bimolecular binding processes, DeltaS(o), have been d...

Modelling the vehicle kinematics is an essential design task of integrated navigation systems. It has to consider both the vehicle motion and the mechanical meaning of the used measurements. Up to now, a small rigid body with three translational and three rotational degrees of freedom is almost the only model applied (Farrell, & Barth, 1999). (For car navigation systems another rigid body with ...

The A(2)Πg ← X(2)Πu electronic transition (4800-6000 Å) of triacetylene cation was measured in an ion trap, where the vibrational and rotational degrees of freedom were equilibrated to 25 K. The rotational profile of the origin band is predicted by a collisional-radiative rate model under conditions expected in diffuse interstellar clouds. Variation in the density of the surrounding gas, rotati...

It is noted that the internal space-time symmetries of relativistic particles are dictated by Wigner’s little groups. The symmetry of massive particles is like the three-dimensional rotation group, while the symmetry of massless particles is locally isomorphic to the two-dimensional Euclidean group. It is noted also that, while the rotational degree of freedom for a massless particle leads to i...

The fourth-rank tensorial nonlinear response function which controls the response of a chromophore in the condensed phase to three arbitrarily polarized external fields is calculated. Internal (vibrational and rotational) degrees of freedom are incorporated using wave packets in Liouville space (the doorway/window picture). The rotational contribution of the chromophore is expressed in terms of...

The three-body problem is a fundamental problem in quantum mechanics, which has not been well solved. The Faddeev equations [1] provide a method for solving exactly the quantum three-body problems. However, only a few analytically solvable examples were found [2]. The accurate direct solution of the three-body Schrödinger equation with the separated center-of-mass motion has been sought based o...