Stochastic trajectory generation by computer

In recent years the Feynman formulation of quantum theory with the use of functional integrals became the basis of numerical methods, mainly in the theory of gauge fields. This approach is discussed in detail in the present study using examples of quantum mechanical problems. In the case of several degrees of freedom $D$ this approach is substantially simpler and more powerful than the traditional approaches based on the Schrodinger equation: an average computer can handle problems with $D\sim$ 10. Possible applications are briefly discussed.

PACS: 02.50.Fz, 02.70.Rr, 03.65.Db, 03.65.Ge, 02.60.Cb, 03.65.Yz (all)
DOI: 10.1070/PU1984v027n06ABEH004174
URL: https://ufn.ru/en/articles/1984/6/c/
Citation: Shuryak E V "Stochastic trajectory generation by computer" Sov. Phys. Usp. 27 448–453 (1984)

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PT Journal Article
TI Stochastic trajectory generation by computer
AU Shuryak E V
FAU Shuryak EV
DP 10 Jun, 1984
TA Phys. Usp.
VI 27
IP 6
PG 448-453
RX 10.1070/PU1984v027n06ABEH004174
URL https://ufn.ru/en/articles/1984/6/c/
SO Phys. Usp. 1984 Jun 10;27(6):448-453

Оригинал: Шуряк Э В «Стохастическая генерация траекторий на ЭВМ» УФН 143 309–317 (1984); DOI: 10.3367/UFNr.0143.198406i.0309