On singular lagrangian underlying the Schrodinger equation

Alexei Deriglazov

Результат исследований: Материалы для книги/типы отчетовМатериалы для конференции

Аннотация

We analyze the properties that manifest hamiltonian nature of the Schrödinger equation and show that it can be considered as originating from singular Lagrangian action (with two second class constraints presented in the Hamiltonian formulation). It is used to show that any solution of the Schrödinger equation with time independent potential can be presented in the form ψ = (-h 2/2mδ V)φ + ih̄eφ tf, where the real field φ(t, x i) is some solution of nonsingular Lagrangian theory being specified below. Preservation of probability turns out to be the energy conservation law for the field f. After introduction the field into the formalism, its mathematical structure becomes analogous to those of electrodynamics.

Язык оригиналаАнглийский
Название основной публикацииProceedings of Science
СостояниеОпубликовано - 2009
Событие5th International School on Field Theory and Gravitation, ISFTG 2009 - Cuiaba City, Бразилия
Продолжительность: 20 апр 200924 апр 2009

Другое

Другое5th International School on Field Theory and Gravitation, ISFTG 2009
СтранаБразилия
ГородCuiaba City
Период20.4.0924.4.09

ASJC Scopus subject areas

  • General

Fingerprint Подробные сведения о темах исследования «On singular lagrangian underlying the Schrodinger equation». Вместе они формируют уникальный семантический отпечаток (fingerprint).

  • Цитировать

    Deriglazov, A. (2009). On singular lagrangian underlying the Schrodinger equation. В Proceedings of Science