THE USE OF ALGEBRAIC METHODS IN THE STUDY OF QUANTUM MECHANICS IN HIGHER EDUCATIONAL INSTITUTIONS

The use of a presentation technique based on the maximum possible standardization of the mathematical language when considering classical and quantum phenomena can significantly improve the quality of studying both the fundamental provisions of theoretical physics and its specific applications. The methodological system of studying quantum mechanics, based on the consistent use of algebraic methods, provides a deeper understanding of physics for students. In this paper, problems on stationary one-dimensional problems in quantum mechanics are posed and solved. In particular, problems of the relativistic Schredinger equation with a constant potential and the problem of a linear harmonic oscillator are considered. An equation based on the expression for the energy of a particle in terms of momentum is obtained. A stationary one-dimensional relativistic Schredinger equation with potential U (x) is obtained. The Stark effect for an oscillator in a constant field is described. The properties of the obtained solutions are analyzed.