英语词汇“eigen-state”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Used in adoptions or partial translations of German compounds in Mathematics and Physics, as eigentone n., eigenfunction n.; hence employed as combining form in many scientific compounds, as eigenload, eigen-period, eigen-solution, eigen-state, eigen-vector, eigen-vibration (see quots.).

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1930 P. A. M. Dirac Princ. Quantum Mech. iii. 35 The physical meaning of an eigenvalue is that there exists a state, namely, the eigenstate belonging to it, such that a measurement of the observable when the system is in this state will certainly give for result just this eigenvalue.

1940 Chambers's Techn. Dict. 283/1 Eigenperiod, eigenton, frequencies at which acoustic resonance is experienced in rectangular chambers, because of continued reflections between opposite walls.

1947 Jrnl. Royal Aeronaut. Soc. 51 204 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.

1951 Rev. Mod. Physics 1 (title) Approximate eigen-solutions.

1955 Electronic Engin. 27 200 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.

1955 W. Pauli in W. Pauli Niels Bohr & Devel. Physics 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.

1955 H. B. G. Casimir in W. Pauli Niels Bohr & Devel. Physics 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.

1957 L. Fox Numerical Solution Two-point Boundary Probl. vii. 162 Third, if the vector y is an approximation to any eigenvector y_k, so that, in 18, α_k is much greater than any other α_r, then first-order changes in y give rise to second-order changes in λ, and the eigenvalue is determined more accurately than its eigenvector.

1968 C. G. Kuper Introd. Theory Superconductivity ix. 150 Likewise, ‸bϕ_n is either zero or an eigenstate with energy E_n − ℏω.

单词	eigen-state
释义	> as lemmas eigen-state Used in adoptions or partial translations of German compounds in Mathematics and Physics, as eigentone n., eigenfunction n.; hence employed as combining form in many scientific compounds, as eigenload, eigen-period, eigen-solution, eigen-state, eigen-vector, eigen-vibration (see quots.). ΚΠ 1930 P. A. M. Dirac Princ. Quantum Mech. iii. 35 The physical meaning of an eigenvalue is that there exists a state, namely, the eigenstate belonging to it, such that a measurement of the observable when the system is in this state will certainly give for result just this eigenvalue. 1940 Chambers's Techn. Dict. 283/1 Eigenperiod, eigenton, frequencies at which acoustic resonance is experienced in rectangular chambers, because of continued reflections between opposite walls. 1947 Jrnl. Royal Aeronaut. Soc. 51 204 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. 1951 Rev. Mod. Physics 1 (title) Approximate eigen-solutions. 1955 Electronic Engin. 27 200 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. 1955 W. Pauli in W. Pauli Niels Bohr & Devel. Physics 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. 1955 H. B. G. Casimir in W. Pauli Niels Bohr & Devel. Physics 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. 1957 L. Fox Numerical Solution Two-point Boundary Probl. vii. 162 Third, if the vector y is an approximation to any eigenvector y_k, so that, in 18, α_k is much greater than any other α_r, then first-order changes in y give rise to second-order changes in λ, and the eigenvalue is determined more accurately than its eigenvector. 1968 C. G. Kuper Introd. Theory Superconductivity ix. 150 Likewise, ‸bϕ_n is either zero or an eigenstate with energy E_n − ℏω. extracted from eigen-comb. form < as lemmas
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> as lemmas