Quantum Recurrence Relation and Its Generating Functions | Zendy

Noboru Nakanishi | Zendy

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Quantum Recurrence Relation and Its Generating Functions

Author(s) -

Noboru Nakanishi

Publication year - 2013

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/101

Subject(s) - mathematics , recurrence relation , relation (database) , quantum , pure mathematics , algebra over a field , combinatorics , quantum mechanics , physics , computer science , database

A homogeneous linear recurrence relation with constant coefficients is extended to the case in which the relevant quantities are not necessarily commutative with each other. Two kinds of its generating functions are explicitly given, and a relation between them is established. This result is essentially nothing but the reduction to a common (symmetric) denominator for a sum of fractions of non-commutative quantities. 2010 Mathematics Subject Classification: Primary 00A99; Secondary 47S99.

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