SKU: 98570649212

Introd to the Math'l Structure Of..(V27)

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Introd to the Math'l Structure Of..(V27)This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert

This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac-Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C--algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.

For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.

The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich-Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.

Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.

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SKU: 98570649212

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Lisa T.
New York, US
★★★★★ 5
I bought myself one and this one was gift for a friend.
Color: Cloud White, Material Type: Paper, PU
Very classy travel jewelry box. Just the size. Made well.
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Reviewed in the United States on May 19, 2026
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VICKI CARROLL
Chelsea, US
★★★★★ 4
Nice Jewelry Box
Color: Jelly Pink, Material Type: Paper, PU, Color: Jelly Pink, Material Type: Paper, PU
Really nice jewelry box just smaller than expected. My fault for not checking the dimensions first. It’s a great value for the price.
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Reviewed in the United States on May 11, 2026
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Coco
Boise, US
★★★★★ 5
Nice little jewelry box
Color: Cloud White, Material Type: Paper, PU
Just what I wanted in size and available compartments. The only thing I am hesitant about is the paper outside. Mine is white and may get dirty quickly.
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Reviewed in the United States on March 16, 2026
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James
Fort Morgan, US
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A Lovely and Useful Gift
Color: Cloud White, Material Type: Paper, PU
I bought this SONGMICS jewelry organizer box as a gift and it was a great choice. The design is beautiful and it keeps jewelry well organized. It’s compact and perfect for travel or everyday use. The person I gave it to loved it and uses it all the time.
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Jeimy Aguilar
Belleville, US
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Small and cute!
Color: Cloud White, Material Type: Paper, PU
Its perfect!
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Reviewed in the United States on May 25, 2026

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