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Вестник Санкт-Петербургского университета. Серия 4. Физика. Химия

О природе волновых функций

Прохоров Лев Васильевич

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The connection of notions particle and function with quantum field theory is analyzed. It is shown that the wave properties of particles are due to that of fields.

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Three-dimensional axially symmetrical exactly soluble model of quantum ring has been considered in the constant magnetic field. Potential, which restricts particle movement in the system in two directions, has been used. By applying method of splitting into physical processes, an electron wave functions and a quasi-stationary energy levels values have been obtained. Also a qualitative description of wave packet movement has been given for the case of quantum ring threading by alternating magnetic field.
В рамках подхода Гельфанда-Яглома в теории релятивистских волновых уравнений рассмотрена модель описания частицы с единственным значением спина и тремя массовыми параметрами. При наличии внешних полей обобщенное волновое уравнение сведено к системе трех связанных уравнений относительно трех биспинорных волновых функций. В отсутствии внешних полей уравнения для трех биспиноров независимы, а коэффициенты в имеют обычную вероятностную интерпретацию.
An attempt is made to replace the quantum field theory by trajectory statistics with changing direction of time. The general expression for quantum- mechanical probabilities is supplemented by arguments concerning the character of random particie motion along trajectories with changing direction of time. The wave properties of micro-particles follow almost automatically from the notion of particles capable of moving both forwards and backwards in time. In this connection, the possibility is discussed of constructing a quanturfl field theory on the basis of a smali number of simple postulates. (auth)