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Titlebook: Commutation Properties of Hilbert Space Operators and Related Topics; C. R. Putnam Book 1967 Springer-Verlag, Berlin · Heidelberg 1967 Hil

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發(fā)表于 2025-3-21 19:28:39 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Commutation Properties of Hilbert Space Operators and Related Topics
編輯C. R. Putnam
視頻videohttp://file.papertrans.cn/231/230745/230745.mp4
叢書名稱Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
圖書封面Titlebook: Commutation Properties of Hilbert Space Operators and Related Topics;  C. R. Putnam Book 1967 Springer-Verlag, Berlin · Heidelberg 1967 Hil
描述What could be regarded as the beginning of a theory of commutators AB - BA of operators A and B on a Hilbert space, considered as a dis- cipline in itself, goes back at least to the two papers of Weyl [3] {1928} and von Neumann [2] {1931} on quantum mechanics and the commuta- tion relations occurring there. Here A and B were unbounded self-adjoint operators satisfying the relation AB - BA = iI, in some appropriate sense, and the problem was that of establishing the essential uniqueness of the pair A and B. The study of commutators of bounded operators on a Hilbert space has a more recent origin, which can probably be pinpointed as the paper of Wintner [6] {1947}. An investigation of a few related topics in the subject is the main concern of this brief monograph. The ensuing work considers commuting or "almost" commuting quantities A and B, usually bounded or unbounded operators on a Hilbert space, but occasionally regarded as elements of some normed space. An attempt is made to stress the role of the commutator AB - BA, and to investigate its properties, as well as those of its components A and B when the latter are subject to various restrictions. Some applica- tions of the result
出版日期Book 1967
關(guān)鍵詞Hilbert space; Hilbertscher Raum; Jacobi; Operators; commutation; differential operator; equation; form; int
版次1
doihttps://doi.org/10.1007/978-3-642-85938-0
isbn_softcover978-3-642-85940-3
isbn_ebook978-3-642-85938-0
copyrightSpringer-Verlag, Berlin · Heidelberg 1967
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沙發(fā)
發(fā)表于 2025-3-21 23:19:04 | 只看該作者
板凳
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Labour and Legitimacy in Post-Soviet Russia,So far, commutators of the form . ? . = ? . have occurred in which . and . are self-adjoint and . was either bounded and arbitrary or semi-definite. In this chapter the special case, important in quantum mechanics, in which . is the identity operator will be considered.
地板
發(fā)表于 2025-3-22 06:51:47 | 只看該作者
Andropov and the Intensification of Labour,In this final chapter some applications of the results obtained in the preceding work will be made.
5#
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6#
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7#
發(fā)表于 2025-3-22 17:58:24 | 只看該作者
Laurent and Toeplitz operators, singular integral operators and Jacobi matrices,In this final chapter some applications of the results obtained in the preceding work will be made.
8#
發(fā)表于 2025-3-22 21:31:15 | 只看該作者
Wave operators and unitary equivalence of self-adjoint operators,nics, . and . correspond to the unperturbed and total Hamiltonian respectively and . transforms the state at time . (interaction picture) into that at time . = 0 (Heisenberg picture); see, e.g., Friedrichs [3], Jauch [1] and Jauch and Zinnes [1].
9#
發(fā)表于 2025-3-23 05:03:32 | 只看該作者
Andropov and the Intensification of Labour,nics, . and . correspond to the unperturbed and total Hamiltonian respectively and . transforms the state at time . (interaction picture) into that at time . = 0 (Heisenberg picture); see, e.g., Friedrichs [3], Jauch [1] and Jauch and Zinnes [1].
10#
發(fā)表于 2025-3-23 08:48:42 | 只看該作者
Labour and Legitimacy in Post-Soviet Russia,le finite-dimensional examples, that the last inequality can become an equality (with . ≠ 0). Thus, in general, the factor 2 cannot be replaced by a smaller number. In case . and . are self-adjoint and . is semi-definite, the inequality can be refined however. In fact in this case, as will be shown
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