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Titlebook: Quantum Theory; A Wide Spectrum E.B. Manoukian Textbook 2006 Springer Science+Business Media B.V. 2006 Potential.hydrogen atom.particles.qu

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樓主: Tyler
51#
發(fā)表于 2025-3-30 11:23:46 | 只看該作者
Spectra of Hamiltonians,asses of Hamiltonian is determined under sufficiency conditions satisfied by the underlying potentials. These sufficiency conditions are readily verified and if satisfied, the nature of the spectra may be inferred. This is obviously very important if the exact solution of the problem in question is
52#
發(fā)表于 2025-3-30 15:06:05 | 只看該作者
Intricacies of Harmonic Oscillators, in §6.1, we study transitions that may be caused between its energy levels in the presence of a time-dependent external, i.e., classical, force coupled linearly to the position observable at zero and finite temperatures in §6.2 and §6.3, respectively. §6.4 deals with the construction of the so-call
53#
發(fā)表于 2025-3-30 18:42:21 | 只看該作者
Intricacies of the Hydrogen Atom,be overemphasized and is based on the earlier analysis in §3.1 on uncertainties, localization and stability. In the process of this analysis, we will derive an upper bound for the average kinetic energy of the electron in the atom, and obtain a non-vanishing lower bound to its average radial extensi
54#
發(fā)表于 2025-3-30 22:54:00 | 只看該作者
Quantum Physics of Spin 1/2 and Two-Level Systems; Quantum Predictions Using Such Systems,nformation on quantum systems, in general. This chapter is devoted entirely to these structures and their intricate details. It includes important quantum predictions that are made by their direct analyses which may be tested experimentally.
55#
發(fā)表于 2025-3-31 02:47:24 | 只看該作者
Green Functions,. To see how a Green function may arise, suppose that ?. | .? denotes the state of a system at time ., in the .-description, as it has evolved from an initial state ?.0|.?. Upon the insertion of the identity operator in (2.4.13) between ?.| and |.?, we may relate ?xt |.? to the initial state as foll
56#
發(fā)表于 2025-3-31 06:51:09 | 只看該作者
57#
發(fā)表于 2025-3-31 10:08:39 | 只看該作者
The Quantum Dynamical Principle,nted here, it gives rise to an expression for the variation δ?. | .′? of a transformation function . | .′? from a .-description at time .′ to an .-description at time ., as arising from any changes made in the parameters of a Hamiltonian such as of the underlying ., as introduced in §6.2, §6.4 and a
58#
發(fā)表于 2025-3-31 14:53:23 | 只看該作者
Approximating Quantum Systems,tions to the energy levels of the hydrogen atom, also the non-relativistic Lamb shift, and treated the atom in external electromagnetic fields. In Chapter 8, we have discussed the validity of the exponential law in a two-level system (§8.1) and related approximations involved. In the same chapter, r
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