| 释义 |
eigen-|ˈaɪgən|
G. eigen own, proper, peculiar, characteristic, used in adoptions or partial translations of G. compounds in Math. and Physics, as eigenton, eigenfunction; hence employed as comb. form in many scientific compounds, as eigenload, eigen-period, eigen-solution, eigen-state, eigen-vector, eigen-vibration (see quots.).
1930Eigenstate [see eigenvalue]. 1940Chambers's Techn. Dict. 283/1 Eigenperiod, eigenton, frequencies at which acoustic resonance is experienced in rectangular chambers, because of continued reflections between opposite walls. 1947Jrnl. R. Aeronaut. Soc. LI. 204 A complete theory of the conditions for the existence, and the form of the self-equilibrating orthogonal and load systems (eigenloads)..which vary similarly along all generators, is given. 1951Rev. Mod. Physics 1 (title) Approximate eigen-solutions. 1955Electronic Engin. XXVII. 200 An infinite line of similar quadripoles each with matrix A connected in cascade.. must be a vector such that the effect of operating on it with A is to leave it unaltered except for a change in magnitude... Any vector..fulfilling this condition is called an eigen-vector of the operator matrix H. 1955W. Pauli Niels Bohr 39 The transformation..can be interpreted as replacing every emission operator by an absorption operator of the same eigen-vibration without interchange of particle and anti⁓particle. 1955H. B. G. Casimir in W. Pauli Niels Bohr 131 The remarkable feature of Bose–Einstein condensation is that a sizable fraction of the particles is forced into the very lowest eigenstate, a state which should have curious and essentially non-classical properties. 1957L. Fox Two-point Boundary Probl. vii. 162 Third, if the vector y is an approximation to any eigenvector yk, so that, in 18, αk is much greater than any other αr, then first-order changes in y give rise to second-order changes in λ, and the eigenvalue is determined more accurately than its eigenvector. 1968C. G. Kuper Introd. Theory Superconductivity ix. 150 Likewise, b{caret}ϕn is either zero or an eigenstate with energy En - ℏω. |