Abstract In this paper, we develop the quantum theory that has discrete Poincaré symmetry on one-dimensional Bravais lattice. We review recently discovered Lorentz which coexists with space translational a The transformations and spacetime translations form group, are represented by unitary operators in theory. find conditions for existence of representation, expressed as congruence relation be...

It is shown that a fluid near a topographically patterned wall exhibits crystallization below the bulk freezing point (so-called precrystallization). In detail, a periodic array of fixed hard spheres is considered as a wall pattern. The actual type of the pattern corresponds to a face-centred-cubic (fcc) lattice cut along the (111), (100) or (110) orientation, a hexagonal-close-packed (hcp) sol...

The coupling of magnetic and electronic degrees of freedom to the crystal lattice in the ferromagnetic semimetal EuB(6), which exhibits a complex ferromagnetic order and a colossal magnetoresistance effect, is studied by high-resolution thermal expansion and magnetostriction experiments. EuB(6) may be viewed as a model system, where pure magnetism-tuned transport and the response of the crystal...

scanning hall probe microscopy (shpm) is a scanning probe microscopy technique developed to observe and image magnetic fields locally. this method is based on application of the hall effect, supplied by a micro hall probe attached to the end of cantilever as a sensor.  shpm provides direct quantitative information on the magnetic state of a material and can also image magnetic induction under a...

here, we propose an add-drop and a channel drop filter based on two-dimensional photonic crystal all circular ring resonators. these structures are made of a square lattice of silicon rods with the refractive index n1=3.464 surrounded by air (with refractive index n2=1). the broadest photonic band gap occurs at the filling ratio of r/a = 0.17. two linear defect w1 waveguides couple to the ring....

A simple and efficient transmission line model is proposed here to study how the transmission characteristics of photonic crystal waveguides are tailored by introduction of stubs patterned in the photonic crystal lattice. It is shown that band-pass and band-stop optical filters can be easily designed and optimized when stubs of appropriate length are brought in. Since the lengths of the designe...