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We discuss the derivation of the quantum Liouville equation and the Wigner-Poisson system (or quantum Vlasov equation) from elementary quantum mechanical principles via the Wigner transformation.

The article discusses the relationship between physics or mathematics and music. The author cites the traditional western music, which consists of the octave, as example. The octave is divided into 12 intervals called semitones, which correspond to the intervals between the 12 keys. According to the author, when 12 notes separated by semitones are sounded successively, the result is the chromatic scale. The author further demonstrates the role of mathematics through the use of a logarithmic unit of frequency called the cent.

In memoriam Ivan Kuščer, born Vienna, 06 17, 1918, died Ljubljana 01 31, 2000. My close association with Ivan began in 1963 and continued up to 1999. In this article I describe some of our interactions, both in physics and in our personal lives. One focal point is Ivan's classic article (with McCormick and Summerfield) on the partial-range orthogonality of Case's singular eigenfunctions. Some of the work inspired by this article is described. Also, Ivan's love–hate relationship with mathematics is discussed in some detail. [ABSTRACT FROM AUTHOR]