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i want to ask about guessing the trial wave function at variational method of approximation

usually for example at solving harmonic oscillator or hydrogen atom we have conditions for trial wave function

but in fact i want to ask generally how could i make the guessing .. some problems give a particle of mass m moving at certain potential and want to use variational method to find gs energy now how could i guess the trial wavefunction

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# B Guessing trial wave function with variational method

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