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Scientific Report 2007-2009<br />

History of Physics and Physics Education<br />

H3. Physics education: new perspectives on the problem of the<br />

transition from classical to quantum physics<br />

Its well known that the problem of teaching Quantum<br />

Physics at school, is of outstanding priority in the<br />

international research on Physics Education. Yet, the<br />

various groups of research dont share the same opinions.<br />

The debate is still open. The group of Rome is improving<br />

a path-proposal starting from substantial changes in<br />

the teaching of Classical Physics. Two aspects of the<br />

entire question are being stressed.<br />

1. The links and the gaps between the Classical and<br />

the Quantum views of the physical world;<br />

References<br />

Ċ. Tarsitani, Dalla fisica classica alla fisica quantistica,<br />

Editori Riuniti Univ. Press, Roma (2009)<br />

Authors<br />

C. Tarsitani<br />

2. The formal structure of Quantum Physics;<br />

3. The conceptual interpretation of the formalism.<br />

As regards the first issue, we think that a meaningful<br />

teaching of Quantum Physics cannot be actuated if the<br />

main lines of the conceptual changes in the transition<br />

from the Classical to Quantum views would not explicitly<br />

treated. From this point of view, the research on<br />

teaching must be integrated with historical and epistemological<br />

knowledge. Our work is oriented towards the<br />

construction of a clear insight of the deep conceptual<br />

problems that emerge in the period 1890-1925, also by<br />

individuating some important experimental situations in<br />

which these problems appear in a form easy to understand.<br />

As regards the second issue, its well known that the<br />

Quantum formalism has a conceptual meaning in itself.<br />

Our research aims to find strategies for a simple approach<br />

to Quantum formalism, which can be used also at<br />

school level. The research is oriented to create a logicalmathematical<br />

structure, based on a simplified form of<br />

the notion of Hilbert space. We develop the fact that<br />

Quantum Physics, at an elementary level, is based on a<br />

linear theory, which in turn finds its natural representation<br />

by means of vector spaces. The mayor obstacle to<br />

this development seems to be the use of complex numbers.<br />

We have developed a formal structure based on<br />

classical linear systems, that can be described in terms<br />

of the well-known Diracs notations. Therefore we are<br />

looking for a better integration between the teaching of<br />

Physics and the teaching on Mathematics.<br />

As regards the third issue the research is oriented<br />

to the examination on the various misconceptions that<br />

infest many textbook introductions to Quantum Physics<br />

and are deeply impressed in the understanding of the<br />

subject of the majority of students. Obviouly this<br />

kind of research is based on an accurate analysis of<br />

the debates that followed the formulation of the new<br />

theoretical structure. A new line of research regards<br />

the impact of Quantum Field Theory on the conceptual<br />

issues raised by the above traditional debates. This last<br />

research is carried on in collaboration with the Group of<br />

the Department of Physics of the University of Bologna.<br />

<strong>Sapienza</strong> Università di Roma 174 Dipartimento di Fisica

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