An explicit and finite algorithm is derived, allowing the exact expansion of z=exp(x+ lambda y) for non-commuting x and y, up to second order in lambda . Such an expansion is the inverse of the usual Hausdorff-Baker-Campbell formula. The matrix elements of z are computed, and as an application, the Duhamel two-point function obtained.

Some new results in non-commutative algebra in the calculation of a two-point function / Buzano, Carla; Rasetti, Mario; Vadacchino, M.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 11:6(1978), pp. 1001-1008. [10.1088/0305-4470/11/6/004]

Some new results in non-commutative algebra in the calculation of a two-point function

BUZANO, Carla;RASETTI, Mario;
1978

Abstract

An explicit and finite algorithm is derived, allowing the exact expansion of z=exp(x+ lambda y) for non-commuting x and y, up to second order in lambda . Such an expansion is the inverse of the usual Hausdorff-Baker-Campbell formula. The matrix elements of z are computed, and as an application, the Duhamel two-point function obtained.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1846014
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