zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Second quantization, projective modules, and local gauge invariance. (English) Zbl 0518.58024
MSC:
53D50Geometric quantization
13C10Projective and free modules and ideals
81S05Commutation relations (quantum theory)
55R10Fiber bundles
References:
[1]Atiyah, M. F., and Jones, J. D. S. (1978).Communications in Mathematical Physics,61, 97. · Zbl 0387.55009 · doi:10.1007/BF01609489
[2]Bass, H. (1968).Algebraic K-theory, W. A. Benjamin, New York.
[3]Bjorken, J. D., and Drell, S. D. (1964).Relativistic Quantum Mechanics, McGraw-Hill, New York.
[4]Bjorken, J. D., and Drell, S. D. (1965).Relativistic Quantum Fields, McGraw-Hill, New York.
[5]Bogoliubov, N. N. (1967).Lectures on Quantum Statistics, Vol. 1, MacDonald, London.
[6]Cartier, P. (1966). ”Quantum mechanical commutation relations and theta functions,” Proceedings of Symposia in Pure Mathematics IX, American Mathematical Society, Providence, Rhode Island.
[7]Kostant, B. (1970). ”Quantization and unitary representation,” inLectures in Modern Analysis and Applications III, edited by C. T. Taam, Lecture Notes in Mathematics 170, Springer, Berlin.
[8]Kuiper, N. (1953). ”Sur les surfaces localement affines,” Colloque de Géométrie Differentielle, Strasbourg.
[9]Lang, S., (1965).Algebra, Addison-Wesley, Reading, Massachusetts.
[10]MacLane, S. (1967).Homology, Springer-Verlag, New York.
[11]Misner, S. W., Thorne, K. S., and Wheeler, J. A. (1973)Gravitation, W. H. Freeman, San Francisco.
[12]Mulvey, C. J. (1976).Mathematische zeitschrift,151, 57. · Zbl 0327.16024 · doi:10.1007/BF01174725
[13]Roman, P. (1965).Advanced Quantum Theory, Addison-Wesley, Reading, Massachusetts.
[14]Scadron, M. D. (1979).Advanced Quantum Theory, Springer-Verlag, New York.
[15]Segal, I. E. (1963).Mathematical Problems of Relativistic Physics, American Mathematical Society, Providence, Rhode Island.
[16]Selesnick, S. A. (1979). ”Rank one projective modules over certain Fourier algebras,”Applications of Sheaves, edited by M. P. Fourman, C. J. Mulvey, and D. S. Scott, Lecture Notes in Mathematics 753, Springer, Berlin.
[17]Śniatycki, J. (1974).Journal of Mathematical Physics,15, 619. · doi:10.1063/1.1666695
[18]Swan, R. G. (1968).Algebraic K-theory, Lecture Notes in Mathematics 76, Springer-Verlag, New York.
[19]Taylor, J. C. (1979).Gauge Theories of Weak Interactions, Cambridge University Press, Cambridge.
[20]Vaisman, I. (1973)Cohomology and Differential Forms, Marcel Dekker, New York.
[21]Yang, C. N., and Mills, R. L. (1954).Physical Review,96, 191. · doi:10.1103/PhysRev.96.191