Certain superposition states of the 1-D infinite square well have transient zeros at locations other than the nodes of the eigenstates that comprise them. It is shown that if an infinite potential barrier is suddenly raised at some or all of these zeros, the well can be split into multiple adjacent infinite square wells without affecting the wavefunction. This effects a change of the energy eig...

We study accelerator modes of a particle, confined in an one-dimensional infinite square well potential, subjected to a time-periodic pulsed field. Dynamics of such a particle can be described by one generalization of the kicked rotor. In comparison with the kicked rotor, this generalization is shown to have a much larger parametric space for existence of the modes. Using this freedom we provid...

Polygon clipping is a central part of image generation and image visualization systems. In spite of its algorithmic simplicity it consumes a considerable amount of hardware or software resources. Polygon clipping performance is dominated by two processes: intersection calculations and data transfers. The paper analyzes the prevalent Sutherland-Hodgman algorithm for polygon clipping and identifi...

To develop the organic Rankine-vapor compression ice maker driven by solar energy, a thermodynamic model was developed and the effects of generation temperature, condensation temperature, and working fluid types on the system performance were analyzed. The results show that the cooling power per square meter collector and ice production per square meter collector per day depend largely on gener...

We study model square-well fluids with well-width parameter λ = 1.5 confined to hard planar slits. We derive a general computer simulation method for numerically calculating an arbitrary first derivative of the canonical ensemble partition function with respect to a simulation parameter, which we call the Virtual-Parameter-Variation method. Two special cases of this approach are the Widom test-...

We study a two-dimensional fluid of particles interacting through a spherically symmetric and marginally soft two-body repulsion. This model can exist in three different crystal phases, one of them with square symmetry and the other two triangular. We show that, while the triangular solids first melt into a hexatic fluid, the square solid is directly transformed on heating into an isotropic flu...

The possibility of deformation of two body quantum Calogero-Moser-Sutherland models is studied. Obtained are some necessary conditions for the singular locus of the potential function. Such locus is determined if it consists of two, three or four lines. Furthermore, a new deformation of elliptic B2 type Calogero-Moser-Sutherland model is explicitly constructed.

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to finite the repulsive energy barrier in the pair potentials As a consequence, an exact analytical solution is lacking even in one dimension. Building upon previo...

A homopolymer chain consisting of monomers interacting via a Square Well (SW) potential exhibits a freezing transition from expanded coil to compact crystalline conformations or transitions from coil conformations to collapsed globules and then to crystalline structures. Following the work of Taylor et al.[J. Chem. Phys. 131, 114907 (2009)] we study a homopolymer SW chain of length 156 N = mono...

A new kind of invariance by replication of a statistical measure of complexity is considered. We show that the set of energy eigenstates of the quantum infinite square well displays this particular invariance. Then, this system presents a constant complexity for all the energy eigenstates.