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Interpretative Aspects of Quantum Mechanics
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Interpretative Aspects of Quantum Mechanics

This book presents a selection of Prof. Matteo Campanella''s writings on the interpretative aspects of quantum mechanics and on a possible derivation of Born''s rule - one of the key principles of the probabilistic interpretation of quantum mechanics - that is independent of any priori probabilistic interpretation. This topic is of fundamental interest, and as such is currently an active area of research. Starting from a natural method of defining such a state, Campanella found that it can be characterized through a partial density operator, which occurs as a consequence of the formalism and of a number of reasonable assumptions connected with the notion of a state. The book demonstrates that the density operator arises as an orbit invariant that has to be interpreted as probabilistic, and that its quantitative implementation is equivalent to Born''s rule. The appendices present various mathematical details, which would have interrupted the continuity of the discussion if they had been included in the main text. For instance, they discuss baricentric coordinates, mapping between Hilbert spaces, tensor products between linear spaces, orbits of vectors of a linear space under the action of its structure group, and the class of Hilbert space as a category.

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This book presents a selection of Prof. Matteo Campanella''s writings on the interpretative aspects of quantum mechanics and on a possible derivation of Born''s rule - one of the key principles of the probabilistic interpretation of quantum mechanics - that is independent of any priori probabilistic interpretation. This topic is of fundamental interest, and as such is currently an active area of research. Starting from a natural method of defining such a state, Campanella found that it can be characterized through a partial density operator, which occurs as a consequence of the formalism and of a number of reasonable assumptions connected with the notion of a state. The book demonstrates that the density operator arises as an orbit invariant that has to be interpreted as probabilistic, and that its quantitative implementation is equivalent to Born''s rule. The appendices present various mathematical details, which would have interrupted the continuity of the discussion if they had been included in the main text. For instance, they discuss baricentric coordinates, mapping between Hilbert spaces, tensor products between linear spaces, orbits of vectors of a linear space under the action of its structure group, and the class of Hilbert space as a category.

Produktdetaljer
Sprog: Engelsk
Sider: 143
ISBN-13: 9783030442095
Indbinding: Paperback
Udgave:
ISBN-10: 3030442098
Udg. Dato: 28 aug 2021
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 28 aug 2021
Forfatter(e) Maria Stella Mongiovi, Matteo Campanella, David Jou


Kategori Matematisk modellering


Sprog Engelsk


Indbinding Paperback


Sider 143


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 28 aug 2021


Oplagsdato 28 aug 2021

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