averse
发表于 2025-3-30 11:23:46
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
壮观的游行
发表于 2025-3-30 15:06:05
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
Exposure
发表于 2025-3-30 18:42:21
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
任命
发表于 2025-3-30 22:54:00
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.
Hectic
发表于 2025-3-31 02:47:24
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
DAFT
发表于 2025-3-31 06:51:09
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corpuscle
发表于 2025-3-31 10:08:39
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
斜谷
发表于 2025-3-31 14:53:23
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