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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Weyl Operator and Its Generalization

The Weyl Operator and Its Generalization

Cohen, Leon

Paperback

Series: Pseudo-Differential Operators, Book 9

General MathematicsPhysics

ISBN10: 3034802935
ISBN13: 9783034802932
Publisher: Springer Nature
Published: Dec 12 2012
Pages: 159
Weight: 0.65
Height: 0.60 Width: 6.60 Depth: 9.40
Language: English

The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood, and Weyl. Sometime later, Moyal saw the connection between the Weyl rule and the Wigner distribution, which had been proposed by Wigner in 1932 as a way of doing quantum statistical mechanics. The basic idea of associating functions with operators has since been generalized and developed to a high degree. It has found several application fields, including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar.

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