Extension of Nelson's stochastic quantization to finite temperature using thermo field dynamics

K. Kobayashi, Y. Yamanaka

研究成果: Article

2 引用 (Scopus)

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We present an extension of Nelson's stochastic quantum mechanics to finite temperature. Utilizing the formulation of Thermo Field Dynamics (TFD), we can show that Ito's stochastic equations for tilde and non-tilde particle positions reproduce the TFD-type Schrödinger equation which is equivalent to the Liouville-von Neumann equation. In our formalism, the drift terms in the Ito's stochastic equation have the temperature dependence and the thermal fluctuation is induced through the correlation of the non-tilde and tilde particles. We show that our formalism satisfies the position-momentum uncertainty relation at finite temperature.

元の言語English
ページ(範囲)3243-3249
ページ数7
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
375
発行部数37
DOI
出版物ステータスPublished - 2011 8 29

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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