×

Finite approximations to quantum systems. (English) Zbl 0855.47046

The authors study quantum systems in finite-dimensional spaces as approximations to quantum systems in infinite-dimensional spaces. Numerical computations suggest that for a large class of Hamiltonians there exists a sequence of Hamiltonians in finite-dimensional space which spectral data converging in a very strong fashion to the spectral data of the Hamiltonian in infinite-dimensional space. The authors treat this problem for potentials which are positive, continuous and become infinite at infinite distances.

MSC:

47N50 Applications of operator theory in the physical sciences
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
PDFBibTeX XMLCite
Full Text: DOI