• Corpus ID: 119648676

Lectures on Quantum Mechanics (nonlinear PDE point of view)

@inproceedings{AKomech2005LecturesOQ,
  title={Lectures on Quantum Mechanics (nonlinear PDE point of view)},
  author={A.Komech},
  year={2005}
}
We expose the Schr\"odinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of the Schr\"odinger, Pauli and Dirac equations, as well as for the Maxwell equations. We explain in detail all basic theoretical concepts. We explain all details of the calculations and mathematical tools: Lagrangian and Hamiltonian formalism for the systems with finite degree of freedom and for fields, Geometric… 
Some mathematical problems in a neoclassical theory of electric charges
We study here a number of mathematical problems related to our recently introduced neoclassical theory for the electromagnetic phenomena in which charges are represented by complex valued wave
Relativistic Dynamics of Accelerating Particles Derived from Field Equations
In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein’s celebrated energy-mass relation E=mc2 is commonly derived from that
Wave-Corpuscle Mechanics for Electric Charges
It is well known that the concept of a point charge interacting with the electromagnetic (EM) field has a problem. To address that problem we introduce the concept of wave-corpuscle to describe
Wave-corpuscle mechanics for elementary charges
It is well known that a concept of point charge interacting with electromagnetic (EM) field has a problem. To address that problem we introduce a concept of wave-corpuscle to describe spinless
Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation
One of important problems in mathematical physics concerns derivation of point dynamics from field equations. The most common approach to this problem is based on WKB method. Here we describe a
Fundamental Forces and Unified Field Theory
This paper deals with fundamental particles, their classifications on the basis of Bose – Einstein Statistics, Fermi- Dirac Statistics and Quark Theory along with four types of existing fundamental