Harmonic oscillator thermal density matrix: First-order differential equations for the position representation

Harmonic oscillator thermal density matrix: First-order differential equations for the position representation

A first-order partial differential equation is derived whose solution enables us to find straightforwardly the off-diagonal matrix elements in the position representation of the harmonic oscillator density operator. This approach constitutes an alternative to techniques that require advanced knowled...

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Veröffentlicht in:American journal of physics 2018-01, Vol.86 (1), p.22-24
Hauptverfasser: Barragán-Gil, L. F., Walser, R.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Harmonic analysis
Matrix
Oscillators
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Beschreibung
Zusammenfassung:A first-order partial differential equation is derived whose solution enables us to find straightforwardly the off-diagonal matrix elements in the position representation of the harmonic oscillator density operator. This approach constitutes an alternative to techniques that require advanced knowledge of mathematical and quantum mechanical results.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.5008268