Bargmann Space Methods in First-Order Optics
Bargmann space techniques in quantum mechanics [1, 2, 3, 4] consist in performing a transformation upon the modes of an harmonic oscillator that renders the modes and the creation and annihilation operators particularly simple. In this paper the Bargmann space techniques are extended to the optical propagation of gaussian beams in a lenslike medium with possible loss or gain  yielding a considerably simplified derivation of the algebra of modes and mode generating operators.
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- 3.P. Kramer, M. Moshinski, and T.H. Seligman, “Complex extensions of canonical transformations in quantum mechanics,” in Group theory and its applications, ed. E.M. Loebl,Academic Press, New York (1975).Google Scholar
- 8.J.A. Arnaud, Beam and Fiber Optics, Academic Press, New York (1976).Google Scholar