Abstract
We have seen how rotation of a linear system of particles is modeled by a single particle of reduced mass μ traveling around the center of mass of the system. The probability per unit volume that the model particle is distance r from the center, with colrtitude θ from the axis of rotation and azimuthal angle ϕ about this axis, is given by the product [Ψ(r, θ, ϕ)]*Ψ(r, θ, ϕ).
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References
Books
Arfken, G.: 1970, Mathematical Methods for Physicists, 2nd edn, Academic Press, New York, pp. 534 – 608.
Eyring, H., Walter, J., and Kimball, G. E.: 1944, Quantum Chemistry, Wiley, New York, pp. 48 – 91.
Schiff, L. I.: 1968, Quantum Mechanics, 3rd edn, McGraw-Hill, New York, pp. 66 – 69.
Ziock, K.: 1969, Basic Quantum Mechanics, Wiley, New York, pp. 73 – 103.
Articles
Bordass, W. T., and Linnett, J. W.: 1970, ‘A New Way of Presenting Atomic Orbitals’, J. Chem. Educ. 47, 672–675.
Bragg, L. E.: 1970, ‘Legendre’s Equation for Undergraduates’, Am. J. Phys. 38, 641–643.
Essen, H.: 1978, ‘Quantization and Independent Coordinates’, Am. J. Phys. 46, 983–988.
Ley-Koo, E.: 1972, ‘On the Expansion of a Plane Wave in Spherical Waves’, Am. J. Phys. 40, 1538–1539.
Miyakawa, K.: 1969, ‘Legendre’s Polynomials in Undergraduate Courses’, Am. J. Phys. 37, 924–925.
Ramamurti, G., Ranganathan, K., and Ganesan, L. R.: 1972, ‘Solutions of Legendre’s Equation—Simple Proof’, Am. J. Phys. 40, 913.
Whippman, M. L.: 1966, ‘Orbital Angular Momentum in Quantum Mechanics’, Am. J. Phys. 34, 656–659.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Duffey, G.H. (1984). Angular Motion in a Spherically Symmetric Field. In: A Development of Quantum Mechanics. Fundamental Theories of Physics, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5201-0_7
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DOI: https://doi.org/10.1007/978-94-009-5201-0_7
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