Non linearity of Quantum Mechanics and Solution of the Problem of Wave Function Collapse / Melkikh Alexey V. // COMMUNICATIONS IN THEORETICAL PHYSICS. - 2015. - V. 64, l. 1. - P. 47-53.

ISSN/EISSN:

0253-6102 / 1572-9494

Type:

Article

Abstract:

The problem of the wave function collapse (a problem of measurement in quantum mechanics) is considered. It is shown that it can be solved based on quantum mechanics and does not require any additional assumptions or new theories. The particle creation and annihilation processes, which are described based on quantum field theory, play a key role in the measurement processes. Superposition principle is not valid for the system of equations of quantum field theory for particles and fields, because this system is a non-linear. As a result of the creation (annihilation) of a particle, an additional uncertainty arises, which ``smears{''} the interference pattern. The imposition of such a large number of uncertainties in the repetitive measurements leads to the classical behavior of particles. The decoherence theory also implies the creation and annihilation of particles, and this processes are the consequence of non-linearity of quantum mechanics. In this case, the term ``collapse of the wave function{''} becomes a consequence of the other statements of quantum mechanics instead of a separate postulate of quantum mechanics.

Author keywords:

creation and annihilation of particles; decoherence; superposition principle; double slit experiment NONDEMOLITION MEASUREMENTS; STATE REDUCTION; DECOHERENCE; ENVIRONMENT; MODELS; RULES

DOI:

нет данных

Web of Science ID:

ISI:000360216500008

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	IOP PUBLISHING LTD
Address	TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Language	English
EISSN	1572-9494
Keywords-Plus	NONDEMOLITION MEASUREMENTS; STATE REDUCTION; DECOHERENCE; ENVIRONMENT; MODELS; RULES
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	melkikh2008@rambler.ru
Number-of-Cited-References	34
Usage-Count-Since-2013	4
Journal-ISO	Commun. Theor. Phys.
Doc-Delivery-Number	CP9LT