for spherically symmetric systems
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6 matching pages
1: 18.39 Applications in the Physical Sciences
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§18.39(ii) A 3D Separable Quantum System, the Hydrogen Atom
…2: Bibliography S
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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.
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Rational surfaces associated with affine root systems and geometry of the Painlevé equations.
Comm. Math. Phys. 220 (1), pp. 165–229.
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Decoherent dynamics of a two-level system coupled to a sea of spins.
Phys. Rev. Lett. 81 (26), pp. 5710–5713.
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Text-book on Spherical Astronomy.
Fifth edition, Cambridge University Press, Cambridge.
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Some combinatorial properties of Jack symmetric functions.
Adv. Math. 77 (1), pp. 76–115.
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3: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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Self-Adjoint and Symmetric Operators
… ►Similar results hold for two, but not higher, dimensional quantum systems. … ►which appear in the quantum theory of binding or scattering of a particle in a spherically symmetric potential in three dimensions, and where . … ►A linear operator with dense domain is called symmetric if … ►Self-adjoint extensions of a symmetric Operator
…4: Bibliography C
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Reduction theorems for elliptic integrands with the square root of two quadratic factors.
J. Comput. Appl. Math. 118 (1-2), pp. 71–85.
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Asymptotic approximations for symmetric elliptic integrals.
SIAM J. Math. Anal. 25 (2), pp. 288–303.
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On the expansion of a Coulomb potential in spherical harmonics.
Proc. Cambridge Philos. Soc. 46, pp. 626–633.
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Inequalities for a symmetric elliptic integral.
Proc. Amer. Math. Soc. 25 (3), pp. 698–703.
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Extremal measures for a system of orthogonal polynomials.
Constr. Approx. 9, pp. 111–119.
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5: Bibliography M
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Some conjectures for root systems.
SIAM J. Math. Anal. 13 (6), pp. 988–1007.
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Symmetric Functions and Orthogonal Polynomials.
University Lecture Series, Vol. 12, American Mathematical Society, Providence, RI.
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Orthogonal polynomials associated with root systems.
Sém. Lothar. Combin. 45, pp. Art. B45a, 40 pp. (electronic).
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SciFace Software, Paderborn, Germany.
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6: Bibliography D
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Complex zeros of linear combinations of spherical Bessel functions and their derivatives.
SIAM J. Math. Anal. 4 (1), pp. 128–133.
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The principal frequencies of vibrating systems with elliptic boundaries.
Quart. J. Mech. Appl. Math. 8 (3), pp. 361–372.
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Chebyshev series for the spherical Bessel function
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Comput. Phys. Comm. 18 (1), pp. 73–86.
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Texas Instruments, Inc..
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An Introduction to Chaotic Dynamical Systems.
The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA.
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