Zeeman spatial neutron beam splitting is considered upon reflection from a homogeneous magnetic film placed in an external magnetic field applied at an angle to the surface of a sample. Two ways of applying the Zeeman beam-splitting phenomenon in polarized neutron reflectometry are discussed. One of them is the construction of polarizing devices with a high polarization efficiency. The other is investigations of magnetically noncollinear films at a low spin-flip probability of reflected neutrons. The experimental results are presented for illustration.

Standardized means of experiments description and of operations sequence control, which do not require editing system components, when experiment is changed, are proposed.

The experimentally found small heating of the neutrons after transmission through thin foils can be explained by violation of energy conservation because of finite energy width of the neutron wave packet. The part of the wave packet subcritically transmitted through a foil has energy distribution higher than that of the incident one, and the part totally reflected has energy a little bit lower than the incident one. It is proven here with de Broglie’s wave packet function. Increase and decrease of energy is analytically calculated. In average the energy is conserved.

We report on the results of the experimental investigation of the spectral width of neutron resonances in planar waveguides using the time-of-flight method and recording the microbeam emerging from the waveguide end. Experimental data are compared with the results of theoretical calculations.

The characteristics of a spin-wave neutron interferometer comprising two parallel magnetic mirrors located in noncollinear to the magnetizations of the mirrors are investigated. The device can be used to study the properties of the neutron wave packet and measure the time and spatial correlations of material densities in the medium and on the surface. The interferometer’s sensitivity and the observed neutron coherence length are estimated using experimental data. The possible applications of neutron spin-echo spectrometry based on the two-mirror interferometer are discussed.

Propagation of two beams through a birefringent calcite crystal is considered.Experiments are proposed the same as the ones performed with down conversion photons in nonlinear crystals.

An idea of interpretation of quantum interference in classical terms is presented. Classical propagation of an electron through a slit in a perfectly conducting screen is considered. The change of the electron trajectory under influence of a nearby slit in the same screen is evaluated. The goal of this study is to see whether the influence of the second slit on the electron trajectory can be interpreted as interference in quantum mechanics.

The EPR paradox is shown to be a result of the wrong definitions in quantum mechanics of such physical quantities as momentum and position. The corrected definitions show that momentum and position of particles can be precisely defined simultaneously and uncertainty relations do not prevent it. Therefore, with correct definition of physical quantities in quantum mechanics, the paradox disappears. The Bohm Aharonov version of the EPR paradox is illustrated by the example of measuring the polarization of photon pairs. The common view of the two photon state radiated by a source is presented. The common Bell’s inequality is discussed and the simplest version of it for a specific hidden variable is derived. A possibility of an experimental study of whether a photon and its polarization are preexistent before measurements is considered.

Results of experimental investigations of space, angular and wavelength distribution in neutron microbeams obtained for the first time with the help of a resonant planar neutron waveguide at the time-of-flight reflectometer of the IBR-2 pulsed reactor are reported and comparison with theoretical calculations is presented. Possible application of microbeams in physical experiments is discussed.

A model for violation and even superviolation of the Bell's inequalities in coincidence experiments with photons in local \qm\ is presented. The model is based on assumption that time retardation or losses in an analyzer depend on angle between linear polarization of an incident photon and the analyzer's axis.

The possibility of increasing the effectiveness of nanostructural reflectors by replacing spherical nanoparticles with nanorods is examined. It is shown that the albedo of very cold neutrons from disordered nanorods is lower than from nanospheres of the same diameter. However, the albedo of very cold neutrons and quasispecular reflection of cold neutrons from long nanorods oriented parallel to its surface are higher than the corresponding values for a reflector comprised of nanospheres of the same diameter.

In order to improve the quality of neutron supermirrors periodic multilayers of various periods were prepared. The reflectivity properties of these systems were investigated using neutron and X-ray reflectometry. The obtained experimental results were compared with the calculated ones. The deviations from the proposed structure and calculated scattering length densities were investigated. In first approximation, the results proved the main features of the calculations. The roughness of different interfaces was also investigated.

Scattering of a scalar particle on a crystalline plane with quadratic cell and identical fixed scatterers is solved precisely. Contradiction of the standard scattering theory is pointed out.

In neutron waveguides, the neutron wave is confined inside the guiding layer of the structure and can escape from the layer edge as a microbeam. The channeling within the guiding layer is accompanied by an exponential decay of the neutron wave function density inside the waveguide. Here, we report direct determination of the corresponding decay constant, termed the neutron channeling length. For this, we measured the microbeam intensity as a function of the length of a neutron absorbing layer of variable length placed onto the surface of a waveguide structure. Such planar neutron waveguides transform a conventional neutron beam into an extremely narrow but slightly divergent microbeam, which can be used for the investigation of nanostructures with submicron spatial resolution.

It is shown that description of a nonpolarized neutron beam by density matrix is contradictory. Density matrix is invariant with respect to choice of quantization axis, while experimental devices can discriminate between different quantization axes.

The neutron Berry phase is found from an exact analytic solution of the Schrodinger equation in a constant magnetic field B-0 and a perpendicular radiofrequency field b rotating with an angular frequency omega. The solution is found for arbitrary values of B-0, b, and omega. The Berry phase is shown to be a linear approximation of the exact value in the parameter omega/B-0 when this parameter is small.

An experiment for strong light amplification at multiple total reflections from active gaseous media is proposed.