Contact » Jedrzej Sniatycki

Jedrzej Sniatycki

Professor

Applied Mathematics

+1 (403) 220-3957

MS 320

sniat@math.ucalgary.ca

http://math.ucalgary.ca/~sniatyck

Research Interests

Combinatorics, Geometry and Logic:

Symplectic geometry

General:

Currently Teaching

Not currently teaching any courses.

view past courses

Publications

Book

Sniatycki, Jedrzej. Quantization of {Y}ang-{M}ills fields commutes with reduction World Sci. Publishing, 2000. 68-75.
Sniatycki, Jedrzej. Classical {Y}ang-{M}ills and {D}irac fields in the {M}inkowski space and in a bag Plenum, 1995. 109-118.
Sniatycki, Jedrzej. On boundary conditions for {Y}ang-{M}ills fields in spatially bounded domains 379. Springer, 1991. 43-53.
Sniatycki, Jedrzej. Hamiltonian constraints, the {J}acobi principle and gravity 99. Birkh\"auser Boston, 1991. 433-441.
Sniatycki, Jedrzej. Geometry of minisuperspace World Sci. Publishing, 1991. 91-97.
Sniatycki, Jedrzej. On reduction of almost regular momentum maps Univ. Montr\'eal, 1990. 229-233.
Epstein, Marcelo and Sniatycki, Jedrzej. Geometry of uniform bodies World Sci. Publishing, 1989. 134-151.
Binz, Ernst , Sniatycki, Jedrzej and Fischer, Hans . Geometry of classical fields 154. North-Holland Publishing Co., 1988. xviii+450.
Sniatycki, Jedrzej. On quantization of {Y}ang-{M}ills fields 76. Teubner, 1985. 351-363.
Epstein, Marcelo and Sniatycki, Jedrzej. Locality and uniformity in global elasticity 1139. Springer, 1985. 300-310.
Sniatycki, Jedrzej. On quantization of systems with constraints 6. Reidel, 1984. 207-211.
Sniatycki, Jedrzej. Constraints and quantization 1037. Springer, 1983. 301-334.
Sniatycki, Jedrzej. Further applications of geometric quantization 139. Springer, 1981. 36-37.
Sniatycki, Jedrzej. Geometric quantization and quantum mechanics 30. Springer-Verlag, 1980. ix+230.
Sniatycki, Jedrzej. Application of geometric quantization in quantum mechanics 676. Springer, 1978. 357-367.
Sniatycki, Jedrzej. On geometric quantization of classical systems Academic Press, 1978. 287-297.
Sniatycki, Jedrzej. On cohomology groups appearing in geometric quantization Springer, 1977. 46-66. Lecture Notes in Math., Vol. 570.
Sniatycki, Jedrzej. On wave functions in geometric quantization Springer, 1976. 194-198. Lecture Notes in Phys., Vol. 50.
Sniatycki, Jedrzej. Bohr-{S}ommerfeld quantum systems Centre Nat. Recherche Sci., Centre Phys. Theor., Marseille, 1974. 42-51.

Journal Paper

Sniatycki, Jedrzej. Multisymplectic reduction for proper actions 56.3 2004. 638-654.
Sniatycki, Jedrzej. Geometry of solution spaces of spaces of {Y}ang-{M}ills equations 24. 2003. 249-265.
Cushman, Richard and Sniatycki, Jedrzej. Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; \refmr {MR}1848504 (2002j:53109)\endrefmr] 55.2 2003. 247.
Cushman, Richard and Sniatycki, Jedrzej. Erratum: ``{D}ifferential structure of orbit spaces'' [{C}anad. {J}. {M}ath. {\bf 53} (2001), no. 4, 715-755; {MR}1848504 (2002j:53109)] 55.2 2003. 247.
Sniatycki, Jedrzej. Integral curves of derivations on locally semi-algebraic differential spaces suppl. 2003. 827-833.
Sniatycki, Jedrzej. Orbits of families of vector fields on subcartesian spaces 53.7 2003. 2257-2296.
Sniatycki, Jedrzej. The momentum equation and the second order differential equation condition 49.2-3 2002. 371-394.
Cushman, Richard and Sniatycki, Jedrzej. A nonholonomic oscillator 50.1 2002. 85-98.
Cushman, Richard and Sniatycki, Jedrzej. Nonholonomic reduction for free and proper actions 7.1 2002. 61-72.
Sniatycki, Jedrzej. Almost {P}oisson spaces and nonholonomic singular reduction 48.1-2 2001. 235-248.
Cushman, Richard and Sniatycki, Jedrzej. Differential structure of orbit spaces 53.4 2001. 715-755.
Sniatycki, Jedrzej. Regularity of constraints and reduction in the {M}inkowski space {Y}ang-{M}ills-{D}irac theory 70.3 1999. 277-293.
Sniatycki, Jedrzej. Geometry of the constraint sets for {Y}ang-{M}ills-{D}irac equations with inhomogeneous boundary conditions 203.3 1999. 707-712.
Sniatycki, Jedrzej. A {H}amiltonian analysis of {Y}ang-{M}ills equations 44.1-2 1999. 205-214.
Cushman, Richard and Sniatycki, Jedrzej. Hamiltonian mechanics on principal bundles 21.2 1999. 60-64.
Sniatycki, Jedrzej. Nonholonomic {N}oether theorem and reduction of symmetries 42.1-2 1998. 5-23.
Cushman, Richard and Sniatycki, Jedrzej. A classical particle with spin realized by reduction of a nonlinear nonholonomic constraint 41.1 1998. 133-142.
Schwarz, G and Sniatycki, Jedrzej. Gauge symmetries of an extended phase space for {Y}ang-{M}ills and {D}irac fields 66.1 1997. 109-136.
Schwarz, G , Sniatycki, Jedrzej and Tafel, Jacek . Yang-{M}ills and {D}irac fields with inhomogeneous boundary conditions 188.2 1997. 439-448.
Tafel, J. and Sniatycki, Jedrzej. Nonlinear semigroups and the {Y}ang-{M}ills equations with the metallic boundary conditions 22.1-2 1997. 49-69.
Sniatycki, Jedrzej, Schwarz, G and Bates, Larry. Yang-{M}ills and {D}irac fields in a bag, constraints and reduction 176.1 1996. 95-115.
Sniatycki, Jedrzej. What can we learn from the classical theory of {Y}ang-{M}ills and {D}irac fields? 27.10 1996. 2497-2505.
Schwarz, G. and Sniatycki, Jedrzej. The {H}amiltonian evolution of {Y}ang-{M}ills fields in bounded domains 27.4 1996. 881-892.
Schwarz, G and Sniatycki, Jedrzej. Yang-{M}ills and {D}irac fields in a bag, existence and uniqueness theorems 168.2 1995. 441-453.
Cushman, Richard, Sniatycki, Jedrzej and Bates, Larry. Geometry of nonholonomic constraints 36.2-3 1995. 275-286.
Cushman, Richard and Sniatycki, Jedrzej. Local integrability of the mixmaster model 36.1 1995. 75-89.
Sniatycki, Jedrzej and Schwarz, G . The existence and uniqueness of solutions of {Y}ang-{M}ills equations with bag boundary conditions 159.3 1994. 593-604.
Sniatycki, Jedrzej and Schwartz, G . An invariance argument for confinement 34.3 1994. 311-324.
Bates, Larry and Sniatycki, Jedrzej. Nonholonomic reduction 32.1 1993. 99-115.
Bates, Larry and Sniatycki, Jedrzej. On the period-energy relation 114.3 1992. 877-878.
Epstein, Marcelo and Sniatycki, Jedrzej. Fermat's principle in elastodynamics 27.1 1992. 45-56.
Kerbrat, Yvan , Kerbrat-Lunc, H and Sniatycki, Jedrzej. Geometry of minisuperspace in examples 31.2 1992. 205-215.
Bates, Larry and Sniatycki, Jedrzej. On action-angle variables 120.4 1992. 337-343.
Duval, C. , Elhadad, J. , Gotay, M. J., Sniatycki, Jedrzej and Tuynman, G. M.. Quantization and bosonic {BRST} theory 206.1 1991. 1-26.
Sniatycki, Jedrzej. Regularity of constraints in the {M}inkowski space {Y}ang-{M}ills theory 141.3 1991. 593-597.
Kerbrat, Yvan , Kerbrat-Lunc, H and Sniatycki, Jedrzej. Generalized gauge fields 32.7 1991. 1750-1754.
Epstein, Marcelo and Sniatycki, Jedrzej. {$G$}-structures and material homogeneity 23.2-3 1990. 167-180.
Kerbrat, Y. , Kerbrat-Lunc, H. and Sniatycki, Jedrzej. A geometric interpretation of symmetry breaking in electroweak interactions 28.2 1989. 201-212.
Kerbrat, Y. , Kerbrat-Lunc, H. and Sniatycki, Jedrzej. How to get masses from {K}aluza-{K}lein theory 6.2 1989. 311-329.
Sniatycki, Jedrzej. Gauge invariance, boundary conditions, and charges 25.3 1988. 291-303.
Sniatycki, Jedrzej. On the role of boundary conditions in conservation laws in field theory 1987. 154-161.
Binz, Ernst and Sniatycki, Jedrzej. Conservation laws in spacetimes with boundary 3.6 North-Holland Publishing Co., 1986. 1191-1197.
Sniatycki, Jedrzej. Geometric quantization and constraints in field theory 2.2 North-Holland Publishing Co., 1985. 1-21.
Sniatycki, Jedrzej. The {C}auchy data space formulation of classical field theory 19.3 1984. 407-422.
Gotay, Mark J., Lashof, Richard , Sniatycki, Jedrzej and Weinstein, Alan . Closed forms on symplectic fibre bundles 58.4 1983. 617-621.
Sniatycki, Jedrzej. On gauge invariance and confinement 6.6 1983. 1509-1517.
Sniatycki, Jedrzej and Weinstein, Alan . Reduction and quantization for singular momentum mappings 7.2 1983. 155-161.
Gotay, Mark J. and Sniatycki, Jedrzej. On the quantization of presymplectic dynamical systems via coisotropic imbeddings 82.3 1981/82. 377-389.
Sniatycki, Jedrzej. On particles with gauge degrees of freedom 4.3 1980/81. 844-878.
Sniatycki, Jedrzej. Kinematics of particles with isotopic spin 3.2 1979/80. 743-764.
Sniatycki, Jedrzej. On {H}amiltonian dynamics of particles with gauge degrees of freedom 2.3 1979. 642-656.
Sniatycki, Jedrzej and Toporowski, Stanley . On representation spaces in geometric quantization 16.8 1977. 615-633.
Sniatycki, Jedrzej. Wave functions relative to a real polarization 14.4 1975. 277-288.
Lawruk, B. , Sniatycki, Jedrzej and Tulczyjew, W. M.. Special symplectic spaces 17. Springer-Verlag, 1975. 477-497.
Sniatycki, Jedrzej. Bohr-{S}ommerfeld conditions in geometric quantization 7.2 1975. 303-311.
Sniatycki, Jedrzej. Prequantization of charge 15. 1974. 619-620.
Sniatycki, Jedrzej. Dirac brackets in geometric dynamics 20. 1974. 365-372.
Sniatycki, Jedrzej and Tulczyjew, W. M.. Generating forms of {L}agrangian submanifolds 22. Springer-Verlag, 1972/73. 267-275.
Sniatycki, Jedrzej. Lagrangian systems, canonical systems and {L}egendre transformation 1972. 125-143.
Sniatycki, Jedrzej and Tulczyjew, W. M.. Canonical formulation of {N}ewtonian dynamics 16. 1972. 23-27.
Sniatycki, Jedrzej and Tulczyjew, W. M.. Canonical dynamics of relativistic charged particles 15. 1971. 177-187.
Sniatycki, Jedrzej. On the geometric structure of classical field theory in {L}agrangian formulation 68. 1970. 475-484.
Bia{\l}ynicki-Birula, I. , Sniatycki, Jedrzej and Tatur, S. . Functional methods in the {T}hirring model 11. 1963. 479-482.

Preprint

$Photograph of Jedrzej Sniatycki$

Degrees

1961 - B.A. - University of Cambridge
1961 - M.Sc. - Warsaw University
1968 - Ph.D. - Warsaw University

Students

Ph.D. Students:

$Photograph of Mohammad Aliyu$ Mohammad Aliyu
2011 to Present

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