Results 121 to 130 of about 559,362 (165)
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1997
This chapter evaluates some of the simplified Schrödinger equations obtained in the previous chapter, and presents explicit solutions for the energy levels and the corresponding wavefunctions. It begins by looking at the free particle and the particle in a box.
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This chapter evaluates some of the simplified Schrödinger equations obtained in the previous chapter, and presents explicit solutions for the energy levels and the corresponding wavefunctions. It begins by looking at the free particle and the particle in a box.
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On exact solutions of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1985A new approach is used to show what kind of potentials we can use to obtain a series of exact solutions in closed forms of the Schrödinger equation for bound states. In particular, the well known Coulombic and oscillator solutions and others are reproduced as special cases.
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Exact solution of linear equations
Proceedings of the second ACM symposium on Symbolic and algebraic manipulation - SYMSAC '71, 1971The congruential method of obtaining the exact solution of a system of linear equations with integral coefficients is critically reviewed. A new and efficient test for checking that a sequence of residue solutions determines the correct integer solution of the system of equations is presented.
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Exact solution of a minimal recurrence
Information Processing Letters, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keh-Ning Chang, Shi-Chun Tsai
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On exact solutions of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1983In the one- and three-dimensional Schrodinger equation, a broad class of the regular potentials (rational functions of the rational powers of r) may admit exact bound-state solutions in the generalised harmonic-oscillator elementary form psi (r)=rsigma *polynomial*exp(-polynomial).
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Faster Exact Solutions for Max2Sat
2000Given a boolean 2CNF formula F, the MAX2SAT problem is that of finding the maximum number of clauses satisfiable simultaneously. In the corresponding decision version, we are given an additional parameter k and the question is whether we can simultaneously satisfy at least k clauses. This problem is NP-complete.
Jens Gramm, Rolf Niedermeier
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Some Exact Solutions of Magnetohydrodynamics
The Physics of Fluids, 1963Four examples of the exact solutions of two-dimensional magnetohydrodynamics of incompressible inviscid fluid are given. Two are valid for infinite conductivity and the other two for finite conductivity.
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