Gauss sums and quantum mechanics

Journal of Physics A: Mathematical and General

Volumn 33, Issue 34, 2000, Pages 5993-6002

  Armitage, Vernon ^a   Rogers, Alice ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034259820     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/34/305     Document Type: Article

References (13)

1. Armitage J V 1987 Gauss sums and Markov chains Lecture given at LMS Symp. on Number Theory and Dynamical Systems (York, UK)
2. Shor P W 1994 Algorithms for quantum computation: discrete logarithms and factorising Proc. 35th Ann. Symp. on Foundations of Computer Science ed S Goldwasser (Los Alimitos, CA: IEEE Computer Society Press) p 124
3. Dym H and McKean H P 1972 Fourier Series and Integrals (New York: Academic)
4. Hecke E 1923 Vorlesungen über die Theorie der Algebraischen Zahlen (Leipzig: Akademie) (Engl. Transl. 1981 Lectures on the Theory of Algebraic Numbers (New York: Springer))
5. Berry M 1987 Private communication
6. Schulman L 1968 A path integral for spin Phys. Rev. 176 1558-69
7. Schiff L 1968 Quantum Mechanics 3rd edn (New York: McGraw-Hill)
8. Feynman R P and Hibbs A 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
9. Schulman LS 1981 Techniques and Applications of Path Integration (New York: Wiley)
10. Davison B 1954 On Feynman's 'integral over all paths' Proc. R. Soc. A 225 252-63
11. Landau E 1927 Elementare Zahlentheorie Vorlesungen über Zahlentheorie section 1 (Leipzig: Hirzel) 1950 Reprinted (New York: Chelsea)
12. Waterhouse W C 1970 The sign of the Gaussian sum J. Number Theor. 2 363
13. Polya G 1927 Elementare beweis eine thetaformel Sitz. der Phys.-Math. Klasse (Berlin) pp 158-61