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The hydrogen atom, consisting of an electron and a proton, is a two-particle system, and the internal motion of two particles around their center of mass is equivalent to the motion of a single particle with a reduced mass.
Normalized Hydrogen Wavefunctions. Source: Beiser, A., Perspectives of Modern Physics, McGraw-Hill, 1969. Table 9.1. Index. Schrodinger equation concepts. Hydrogen concepts. HyperPhysics ***** Quantum Physics. R Nave. Go Back.
Describe the hydrogen atom in terms of wave function, probability density, total energy, and orbital angular momentum. Identify the physical significance of each of the quantum numbers (n, l, m) of the hydrogen atom. Distinguish between the Bohr and Schrödinger models of the atom.
The wavefunctions for the hydrogen atom depend upon the three variables r, \(\theta\), and \(\varphi \) and the three quantum numbers n, \(l\), and \(m_l\). The variables give the position of the electron relative to the proton in spherical coordinates.
Describe the hydrogen atom in terms of wave function, probability density, total energy, and orbital angular momentum. Identify the physical significance of each of the quantum numbers (n, l, m. n, l, m. n, l, m) of the hydrogen atom. Distinguish between the Bohr and Schrödinger models of the atom.
7. The Hydrogen Atom in Wave Mechanics In this chapter we shall discuss : • The Schrodinger equation in spherical coordinates • Spherical harmonics • Radial probability densities • The hydrogen atom wavefunctions • Angular momentum • Intrinsic spin, Zeeman effect, Stern-Gerlach experiment
In this lecture, the probability of finding an electron at a particular distance from the nucleus is discussed. The concept of wavefunctions (orbitals) is introduced, and applications of electron spin are described.