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Using a variational method to obtain the ground state of the quantum Hamiltonian: symbolic computation approach. (English) Zbl 1421.81043

MSC:

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
35A15 Variational methods applied to PDEs
68W30 Symbolic computation and algebraic computation
97M50 Physics, astronomy, technology, engineering (aspects of mathematics education)

Software:

SAGE Interacts
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References:

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[8] Fernandez, F. M.; Ma, Q.; Tipping, R. H., Tight upper and lower bounds for energy eigenvalues of the Schrodinger equation, Phys. Rev. A, 39, 1605, (1989)
[9] Vallée, O.; Soares, M., Airy Functions and Applications to Physics, (2004), London: Imperial College Press, London · Zbl 1056.33006
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[11] Mohallem, J. R., Comment on ‘Variational treatment of the linear potential,’ by B Cameron Reed (1990 Am. J. Phys. 58 407), Am. J. Phys., 59, 852, (1991)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.