- 作者: 林繼雄; 黃文化; 蘇肇章
- 作者服務機構: Department of Chemistry, National Cheng Kung University, Tainan, Taiwan 700
- 中文摘要: A new variation theory based on the behavior of function vector in a dual vector space is presented. The procedure is applicable t to any quantum mechanical eigenvalue-eigenvector problem and gives appropriate solution even with crude numerical integration to save computational cost. The theory offers an absolute measure of propriety for the assigned trial function. Applications on a free particle with a definite momentum, a particle in a one-dimensional box with a definite energy, the one-dimensional harmonic oscillator, and the ground state of helium atom are shown to demonstrate the merits of the theory.
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