Solution of Problems in Quantum Mechanics

Emilio d’Emilio, Luigi E. Picasso

Kálmán Varga, Joseph A. Driscoll

Konstantin K. Likharev

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Quantum Mechanics: Problems with Solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For the reader’s convenience, the problem assignments are reproduced in this volume.

Yuchuan Wei

There has been a continuous argument on the correctness of the Laskins solution for the infinite square well problem in the fractional quantum mechanics. In this paper, we prove that the Laskins functions are not amathematical solution to the fractional Schrodinger equation and the equation does not have any nonzero solutions at all in the sense of mathematics. As in the standard quantum mechanics, we view the infinite square well problem as the limit of the finite well problem, and define the solution for the infinite square well problem as the limit of the solution for the finite square well problem. Using the simple property of the infinite operators, we show that Laskins function can be the limit solution for the infinite square well problem. The single-sided well problem and the 3 dimensional well problem are included. This operator method works for the same problems in the relativistic quantum mechanicsas well.