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Geometry, stochastic calculus and quantum fields in a non-commutative space-time
The algebras of non-relativistic and of classical mechanics are unstable algebraic structures. Their deformation towards stable structures leads, respectively, to relativity and to quantum mechanics.
Accardi L. +16 more
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Introduction to Quantum Mechanics [PDF]
The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special attention to algebraic issues. The usual representation of Quantum Mechanics on Hilbert spaces is also discussed.
Eduardo J. S. Villaseñor +2 more
openaire +5 more sources
Review of student difficulties in upper-level quantum mechanics
[This paper is part of the Focused Collection on Upper Division Physics Courses.] Learning advanced physics, in general, is challenging not only due to the increased mathematical sophistication but also because one must continue to build on all of the ...
Chandralekha Singh, Emily Marshman
doaj +1 more source
On the Stochastic Mechanics Foundation of Quantum Mechanics
Among the famous formulations of quantum mechanics, the stochastic picture developed since the middle of the last century remains one of the less known ones.
Michael Beyer, Wolfgang Paul
doaj +1 more source
From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"
In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint operators and so
Bayen F. +7 more
core +1 more source
Single‐cell RNA sequencing reveals an opposite role of SLPI in basal tumors based on metastatic spread, along with shared activation of specific regulons in cancer cells and mature luminal lactocytes, as well as downregulation of MALAT1 and NEAT1 in the latter.
Pietro Ancona +4 more
wiley +1 more source
Canonical transformations in quantum mechanics
This paper presents the general theory of canonical transformations of coordinates in quantum mechanics. First, the theory is developed in the formalism of phase space quantum mechanics.
Anderson +42 more
core +1 more source
Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii +8 more
wiley +1 more source
The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock.
A. Messiah +8 more
core +1 more source
Sarcosine oxidase from Bacillus sp. (SoxB) recognizes l‐proline (l‐Pro), d‐proline (d‐Pro), and l‐thioproline (l‐Tpr) as minor substrates. In this study, we measured their absorption spectra, determined the crystal structures of their enzyme complexes, and performed site‐directed mutagenesis of key residues.
Yuqi Zhang +5 more
wiley +1 more source

