Advertisement

A closed form for the intrinsic symbol of the resolvent parametrix of an elliptic operator

  • S. A. Fulling
  • G. Kennedy
E. Symplectic Geometry and Quantization
Part of the Lecture Notes in Physics book series (LNP, volume 278)

Keywords

Covariant Derivative Heat Kernel Elliptic Operator Wigner Function Pseudodifferential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. A. Fulling, How can the Wigner-Weyl formulation of quantum mechanics be extended to manifolds and external gauge fields?, in XIIIth International Colloquium on Group Theoretical Methods in Physics, ed. by W. W. Zachary, World Scientific, Singapore, 1984, pp. 258–260.Google Scholar
  2. 2.
    H. Widom, A complete symbolic calculus for pseudodifferential operators, Bull. Sci. Math. 104, 19–63 (1980).MathSciNetMATHGoogle Scholar
  3. 3.
    L. Drager, On the Intrinsic Symbol Calculus for Pseudo-Differential Operators on Manifolds, Ph.D. Dissertation, Brandeis University, 1978.Google Scholar
  4. 4.
    U. Heinz, Kinetic theory for plasmas with non-Abelian interactions, Phys. Rev. Lett. 51, 351–354 (1983).ADSCrossRefGoogle Scholar
  5. 5.
    J. Winter, Wigner transformation in curved space-time and the curvature correction of the Vlasov equation for semiclassical gravitating systems, Phys. Rev. D 32, 1871–1888 (1985).ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    O. T. Serimaa, J. Javanainen, and S. Varró, Gauge-independent Wigner functions: General formulation, Phys. Rev. A 33, 2913–2927 (1986).ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    S. A. Fulling and G. Kennedy, The resolvent parametrix of the general elliptic linear differential operator: A closed form for the intrinsic symbol, in preparation.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • S. A. Fulling
    • 1
  • G. Kennedy
    • 1
  1. 1.Mathematics DepartmentTexas A & M University College StationTexas

Personalised recommendations