Titlebook: Hypervirial Theorems; F. M. Fernández,E. A. Castro Book 1987 Springer-Verlag Berlin Heidelberg 1987 Hamiltonian operator.Schrödinger equat

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Perturbation Theory without Wave FunctionWe showed in section 9 how the RSPT allows one to obtain the energy and the wave function corrections via the resolution of some differential equations. Here we present a method that combines HR and PT and has proven to be extremely powerful when it is applied to simple models.

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Hypervirial Theorems for 1D Finite Systems. General Boundary ConditionsThe finite BC confront us with a problem no previously found in those cases studied in Part A. Let us suppose that ψ., ψ. are two functions that obey the BC of the problem, so that they belong to D.. If ω is an arbitrary linear operator, then in general, ωψ.. does not belong to D..

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Patrick Kerans,Glenn Drover,David Williamschanical problems. They are simple mathematical relationships, which are called hypervirial relationships, that the trial wavefunction should obey if it is supposed to be an acceptable approximation to the actual wavefunction.

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Hypervirial Theorems. Development and Applications of the Hypervirial Methodology to Solve Quantum Cchanical problems. They are simple mathematical relationships, which are called hypervirial relationships, that the trial wavefunction should obey if it is supposed to be an acceptable approximation to the actual wavefunction.

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Hypervirial Theorems. Development and Applications of the Hypervirial Methodology to Solve Quantum Che harmonic oscillator. The Schrödinger equation for almost all the problems the theoretical chemists and physicists have to deal with cannot be solved in a closed way. Due to this, several approximate methods are currently used to obtain eigenvalues, eigenfunetions and expectation values of physica