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The content of the course
(16 lectures for 2 hours)
WAVE INTERACTION OF NEUTRONS WITH THE CONDENSED MATTER.
Wave function of a free neutron. Quantum description of the reflection of neutron from the
mirrors. Origin of the optical potential. Ultracold neutrons and experiments with them.
Interference during the reflection from mirrors of finite thickness. Multiple reflections in the
system of mirrors. Properties of the amplitudes of reflection and transmission of nonsymmetrical
potentials. Phase correlation of amplitudes of reflection and transmission.
MANY LAYERS PERIODIC MATTER
Structure of the wave function in periodic matter. Bloch wave number, reflection from the semiinfinite system. Bragg’s diffraction. Position and width of the Braggs peaks. Reflection and
transmission of periodical systems with finite number of periods. Periodic systems of KronigPenney. Building of supermirrors with the prescribed properties.
RESONANT LAYERED SYSTEMS
Quasibound states between two potential barriers. The decay of a quasibound system. Resonant structure
of the coefficients of reflection and transmission. Channeling of neutrons in resonance layers.
BOUNDED STATES IN PERIODIC SYSTEMS.
Description of bound states by optical method. Levels splitting. Emergence of zones in the
periodic potentials.
DESCRIPTION
CURVES
OF
EXPERIMENTALLY
MEASURED
REFLECTION
Modeling of potential barriers with fuzzy borders. Approximate description of the reflection and
transmission of free potential barriers. Perturbation theory, the method of continued fractions,
quasiclassics, the matrix method of numerical modeling.
WAVE PACKETS IN NEUTRON OPTICS
Neutron effect of Goos-Hanchen. Shift for full reflection. Deflection from mirror properties for
supercritical reflection.
NETRON WAVES WITH THE SPIN
Spinor and the magnetic arrow of the neutron. Interaction of the neutron with magnetic field. Multi-ray
splitting during the reflection from magnetic mirrors. Algebra of the Pauli matrices. Rules of computing
matrix elements of the reflection and transmission matrices.
NEUTRON IN LAYERED AND PERIODIC MAGNETIC SYSTEMS
Matrix equations for the amplitude of reflection and transmittion. Eigenstates inside magnetic systems.
Generalization of the matrix method for computing reflection and transmission matrices for arbitrary onedimensional magnetic systems.
MAGNETIC
Matrix equations for amplitude of reflection and passing. Eigen conditions inside magnet systems.
Generalization of matrix method for calculating reflection matrices and passing free one-dimensional
magnet systems.
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