Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

2020 ◽  
Vol 24 (1) ◽  
pp. 51-63
Author(s):  
Kunihisa Morita

This study posits that Bohr failed to defend the completeness of the quantum mechanical description of physical reality against Einstein–Podolsky–Rosen’s (EPR) paper. Although there are many papers in the literature that focus on Bohr’s argument in his reply to the EPR paper, the purpose of the current paper is not to clarify Bohr’s argument. Instead, I contend that regardless of which interpretation of Bohr’s argument is correct, his defense of the quantum mechanical description of physical reality remained incomplete. For example, a recent trend in studies of Bohr’s work is to suggest he considered the wave-function description to be epistemic. However, such an interpretation cannot be used to defend the completeness of the quantum mechanical description.


2010 ◽  
Vol 19 (14) ◽  
pp. 2379-2384 ◽  
Author(s):  
SUDARSHAN ANANTH

Three of the four forces of Nature are described by quantum Yang–Mills theories with remarkable precision. The fourth force, gravity, is described classically by the Einstein–Hilbert theory. There appears to be an inherent incompatibility between quantum mechanics and the Einstein–Hilbert theory which prevents us from developing a consistent quantum theory of gravity. The Einstein–Hilbert theory is therefore believed to differ greatly from Yang–Mills theory (which does have a sensible quantum mechanical description). It is therefore very surprising that these two theories actually share close perturbative ties. This essay focuses on these ties between Yang–Mills theory and the Einstein–Hilbert theory. We discuss the origin of these ties and their implications for a quantum theory of gravity.


2019 ◽  
Vol 7 (3) ◽  
pp. 14
Author(s):  
S. E. Revunov ◽  
S. S. Kuznetsov ◽  
O. A. Barkhatova ◽  
E. A. Revunova

Introduction: the study considers the problem of observer’s status during specific quantum-mechanical experiments, in which the empirical result directly depends on the participation of the experimenter's mind. Here the problem arises of the connection between the mind of the observer and the quantum-mechanical description of physical reality. The paper pays attention to modern trends in physics and philosophy devoted to the study of this phenomenon. Some aspects of the philosophical interpretation of the mind as a quantum mechanism are presented.Materials and Methods: the research materials demonstrate an overview of several common quantum-philosophical theories. Attempts have been made to search for the connection of quantum phenomena with the mechanisms of the functioning of human mind. The experimental background of quantum physics is demonstrated, providing material for analyzing the possibility of applying modern quantum theory to the question of identifying the relationship of the quantum approach and describing the problem of the influence of the observer’s mind on the result of a physical experiment.Results: the concept of quantum mechanics, taking into account the latest achievements and results of physics, philosophy and psychology, allows us to consider the mind of the observer as an integral part of the mechanism responsible for the formation of the surrounding physical reality. The anthropic principle of participation considered in the work gives the observer's mind a special role allowing to form a quantum-mechanical description of physical reality.Discussion and conclusions: it is shown that the mind of the observer plays an important role in quantum theory. Moreover, mind as a psychic phenomenon may be in fact identical with the quantum-mechanical concept of choosing an alternative. Given the fact that the brain's thought processes influence the measurement results, it can be assumed that mind changes quantum probabilities. This assumption allows us to take a different look at the concept of reality itself.


2006 ◽  
Vol 106 (9) ◽  
pp. 2129-2144 ◽  
Author(s):  
Luiz Antônio S. Costa ◽  
Trevor W. Hambley ◽  
Willian R. Rocha ◽  
Wagner B. De Almeida ◽  
Hélio F. Dos Santos

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