95
95

PROPERTY FROM THE FAMILY OF RICHARD P. FEYNMAN

FEYNMAN, RICHARD P.
"V=-VO COSΠX...", CA 1987.
Estimation
6 0009 000
Lot. Vendu 11,875 USD (Prix d’adjudication avec commission acheteur)
ACCÉDER AU LOT
95

PROPERTY FROM THE FAMILY OF RICHARD P. FEYNMAN

FEYNMAN, RICHARD P.
"V=-VO COSΠX...", CA 1987.
Estimation
6 0009 000
Lot. Vendu 11,875 USD (Prix d’adjudication avec commission acheteur)
ACCÉDER AU LOT

Details & Cataloguing

History of Science & Technology, Including the Nobel Prize and Papers of Richard P. Feynman

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New York

FEYNMAN, RICHARD P.
"V=-VO COSΠX...", CA 1987.
Autograph manuscript, 2 pp (8 1/2 x 11 in) in black ink on plain white laid paper. Creases where previously folded, a couple of small marginal closed tears.
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Bibliographie

FEYNMAN, RICHARD. "Difficulties in Applying the Variational Principle to Quantum Field Theories." pp. 28-40 IN: Proceedings of the International Workshop on Variational Calculations. (L. Polley and D.E.L. Pottinger, eds.) Singapore: World Scientific Publishing, 1988.

Description

FEYNMAN WORKS OUT A QUIRKY QUANTUM PROBLEM WITH THE SINUSOIDAL POTENTIAL, USING THE VARIATIONAL METHOD, A FAVORITE EARLY TRICK OF HIS, TO WHICH HE OFTEN RETURNED IN HIS RESEARCH. 

 In early September 1987, Feynman presented gave a talk entitled "Difficulties in Applying the Variational Principle to Quantum Field Theories" at the International Workshop on Variational Calculations in Quantum Field Theory in West Germany. The present manuscript is likely notes made while preparing for his talk. The printed proceedings of the International Workshop were dedicated to the memory of Feynman who died just 5 short months after the workshop took place.

In the calculation, Feynman considers a trial wavefunction consisting of Gaussians centered in the valleys of the given sinusoidal confining potential; he then Fourier expands this periodic waveform in term of cosine harmonics, obtaining a recursion relation connecting Fourier coefficients ak in successive rungs of the ladder.  This gains him a nested, continued fraction representation for the energy e as it relates to amplitude, Vo, of the confining potential.

History of Science & Technology, Including the Nobel Prize and Papers of Richard P. Feynman

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New York