Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies

Interpretative Aspects of Quantum Mechanics: Matteo Campanella's Mathematical Studies

Campanella, Matteo
Jou, David
Mongiovì, Maria Stella

Hardcover

Series: Unipa Springer

General MathematicsPhysics

ISBN10: 3030442063
ISBN13: 9783030442064
Publisher: Springer Nature
Published: Aug 28 2020
Pages: 143
Weight: 0.89
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

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.

1 different editions

Also available

Also in

General Mathematics

View All