Journal of the Korean Mathematical Society (대한수학회지)
- Volume 31 Issue 3
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- Pages.521-537
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- 1994
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Conditional Feynman Integrals involving indefinite quadratic form
- Chung, Dong-Myung (Department of Mathematics Sogang University) ;
- Kang, Si-Ho (Department of Mathematics Sook Myung Womans University)
- Published : 1994.08.01
Abstract
We consider the Schrodinger equation of quantum mechanics $$ i\hbar\frac{\partial t}{\partial}\Gamma(t, \vec{\eta}) = -\frac{2m}{\hbar}\Delta(t, \vec{\eta}) + V(\vec{\eta}\Gamma(t, \vec{\eta}) (1.1) $$ $$ \Gamma(0, \vec{\eta}) = \psi(\vec{\eta}), \vec{\eta} \in R^n $$ where $\Delta$ is the Laplacian on $R^n$, $\hbar$ is Plank's constant and V is a suitable potential.
Keywords