Ferret 发表于 2025-3-21 19:37:17
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Unitary Quantum Maps, mechanics. I shall introduce in this chapter about unitary quantum maps the object of choice for studying chaos in ordinary, i.e. nondissipative quantum mechanics. A standard example, namely a kicked top, will serve as a useful model, not only in this chapter, but for the rest of this book. We shal增强 发表于 2025-3-22 01:33:11
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The Determinant of a Tridiagonal, Periodically Continued Matrix,according to .The proof of the formula is quite analogous to the solution of a Schrödinger equation for a one-dimensional tight-binding Hamiltonian with nearest-neighbor hopping by using transfer matrices . The inverse order of the initial and final indices on the product symbol indicatesLOPE 发表于 2025-3-22 23:28:13
Partial Classical Maps and Stability Matrices for the Dissipative Kicked Top, as their stability matrices in phase space coordinates. All maps will be written in the notation (.) → (.), i.e. . and . stand for the initial and final momentum, and . and . for the initial and final (azimuthal) coordinate. The latter is defined in the interval from -. to .. The stability matrices施舍 发表于 2025-3-23 04:32:31
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