Contact Transformations

AbstractIf a Lie group acts faithfully as a transitive group of contact transformations of a compact manifold it is either compact with centre of dimension at most 1 or non-compact simple. The latter case is described

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Generalized contact transformations of a hamiltonian with a quasi-degenerate zero-order approximation. Application to accidental vibration- rotation resonances in molecules

Chemical Physics Letters ◽

10.1016/0009-2614(80)85260-2 ◽

1980 ◽

Vol 74 (3) ◽

pp. 494-502 ◽

Cited By ~ 63

Author(s):

VI.G. Tyuterev ◽

V.I. Perevalvo

Keyword(s):

Order Approximation ◽

Zero Order ◽

Zero Order Approximation ◽

Vibration Rotation ◽

Contact Transformations

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Integral Submanifolds and Contact Transformations

Riemannian Geometry of Contact and Symplectic Manifolds ◽

10.1007/978-0-8176-4959-3_5 ◽

2010 ◽

pp. 69-78

Author(s):

David E. Blair

Keyword(s):

Contact Transformations

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A lost chapter in the pre-history of algebraic analysis: Whittaker on contact transformations

Archive for History of Exact Sciences ◽

10.1007/s00407-010-0063-0 ◽

2010 ◽

Vol 64 (6) ◽

pp. 665-706 ◽

Cited By ~ 1

Author(s):

S. C. Coutinho

Keyword(s):

Algebraic Analysis ◽

History Of ◽

Contact Transformations

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Contact transformations for difference schemes

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/45/2/022001 ◽

2011 ◽

Vol 45 (2) ◽

pp. 022001 ◽

Cited By ~ 2

Author(s):

Decio Levi ◽

Christian Scimiterna ◽

Zora Thomova ◽

Pavel Winternitz

Keyword(s):

Difference Schemes ◽

Contact Transformations

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Seminumerical contact transformations: From internal coordinate rovibrational Hamiltonian to effective rotational Hamiltonians. Framework of the method

The Journal of Chemical Physics ◽

10.1063/1.470387 ◽

1995 ◽

Vol 103 (15) ◽

pp. 6586-6596 ◽

Cited By ~ 8

Author(s):

Tuomas J. Lukka ◽

Esa Kauppi

Keyword(s):

Contact Transformations

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