By Arioli G., Szulkin A.
Read or Download A semilinear Schrödinger equation in the presence of a magnetic field PDF
Similar electricity and magnetism books
The writer makes use of a distinct process which emphasizes the sphere theoretic elements of gravitation and the powerful analogies among gravitation and the opposite parts which are studied in physics. The theory-centered textual content starts off with the best experimental evidence then proceeds to the corresponding differential equations, theoretical constructs resembling power, momentum and pressure and several other functions.
NMR is a transforming into procedure which represents a generalized, unfold, universal instrument for spectroscopy and for structural and dynamic research. a part of the sector of competence of NMR is represented by way of molecules with unpaired electrons, that are known as paramagnetic. The presence of unpaired electrons is whilst a disadvantage (negative impression) and a beneficial resource of knowledge approximately constitution and dynamics.
Individuals are immersed in electromagnetic fields from such assets as energy strains, household home equipment, cellphones, or even electric storms. All dwelling beings experience electrical fields, however the actual origins of the phenomenon are nonetheless uncertain. Magnetobiology considers the results of electromagnetic fields on dwelling organisms.
- Hydromagnetic Waves in the Magnetosphere and the Ionosphere
- Magnetohydrodynamic waves in geospace: the theory of ULF waves and their interaction with energetic particles in the solar-terrestrial environment
- an introduction to magnetohydrodinamics
- Thermoelectric Power in Nanostructured Materials: Strong Magnetic Fields (Springer Series in Materials Science)
- Introduction to the physics of gyrotrons
- 25.Electromagnetic Subsurface Remote Sensing
Additional info for A semilinear Schrödinger equation in the presence of a magnetic field
In a field map such as Fig. 3 the field lines and the equipotentials are always at right angles to each other. We can therefore imagine a second problem whose field pattern is identical to the first except that the roles of the field lines and the equipotentials have been exchanged. Two problems related to each other in this way are called duals of each other. Sometimes it is easier to solve the dual of a problem and then to deduce the required answer from that solution. 57 3. 7 Calculation of resistance by energy methods It has already been observed that capacitances can be calculated by energy methods to an accuracy which is adequate for many purposes.
The very limited range of problems which can be solved by elementary methods can be extended by the use of the principle of superposition and the method of images. In most real problems, however, the electric field can be calculated only by solving Laplace’s or Poisson’s equations. Cases which have not been solved before generally have to be tackled using numerical methods. 31 2. Dielectric materials and capacitance Electromagnetism for Electronic Engineers 2. Dielectric materials and capacitance Objectives x x x x x x x To discuss how and why an electric field is affected by the presence of dielectric materials To introduce the electric flux density vector D as a useful tool for solving problems involving dielectric materials.
In large three-dimensional problems the number of variables can be very large indeed and the computation time correspondingly long. Very often the result required from a field calculation is not the detailed field information but only a single number such as the capacitance. For problems of this kind an alternative method, the boundary element method, is useful because it only requires mesh points and potentials to be specified on the boundaries. This has the benefit that the number of variables in the solution is less than in the corresponding finite difference or finite element solution by two or three orders of magnitude.
A semilinear Schrödinger equation in the presence of a magnetic field by Arioli G., Szulkin A.