Analysis of Non-Commuting Vectors with Application to Quantum Mechanics and Vector Calculus | Zendy

George Shortley | Zendy; George E. Kimball | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Analysis of Non-Commuting Vectors with Application to Quantum Mechanics and Vector Calculus

Author(s) -

George Shortley,

George E. Kimball

Publication year - 1934

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.20.1.82

Subject(s) - induced pluripotent stem cell , in vitro , myocyte , contraction (grammar) , stem cell , cell , cardiac cell , biomedical engineering , neuroscience , computational biology , computer science , biology , microbiology and biotechnology , embryonic stem cell , medicine , biochemistry , gene

In quantum mechanics it is necessary to consider in detail the properties of certain vectors whose components are linear operators. Two components of the same or different vectors do not in general commute. The manipulation of such vectors is facilitated by a set of formulas modified from those of the usual vector analysis. If A and B are two non-commutative vectors (A = Axi + Ayj + Ask), the commutators [Am, B.] = AmBn B,,Am connecting the components of A and B transform like the components of a dyadic; hence it is convenient to write

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research