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Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies (UNIPA Springer Series) - Softcover

 
9783030442095: Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies (UNIPA Springer Series)
  • PublisherSpringer
  • Publication date2021
  • ISBN 10 3030442098
  • ISBN 13 9783030442095
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages160

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9783030442064: Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies (UNIPA Springer Series)

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Campanella, Matteo; Jou, David; Mongiovì, Maria Stella
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Campanella, Matteo; Jou, David; Mongiovì, Maria Stella
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Matteo Campanella,David Jou,Maria Stella Mongiov�
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Campanella, Matteo; Jou, David; Mongiovì, Maria Stella
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Matteo Campanella
ISBN 10: 3030442098 ISBN 13: 9783030442095
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 160 pp. Englisch. Seller Inventory # 9783030442095

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Campanella, Matteo; Jou, David; Mongiovì, Maria Stella
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ISBN 10: 3030442098 ISBN 13: 9783030442095
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783030442095

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Campanella, Matteo/ Jou, David/ Mongiovì, Maria Stella
Published by Springer Nature, 2021
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book is of interest to physicists and mathematicians alikePresents a new assessment of an important problem in fundamental physicsIncludes four appendices explaining the mathematical tools usedDavid Jou&nbspis . Seller Inventory # 492755896

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