Geodesic
On Function Spaces for Quantum Systems with Constraints
Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 597-618

Voir la notice de l'article provenant de la source Math-Net.Ru

Various realizations of the Hilbert state space for quantum systems with linear constraints are considered. One of the realizations is the completion of a Schwartz space with inner product differing from $L^2$. Another realization is a special class of distributions with inner product. An isomorphism between these realizations is constructed, and the properties of the operators are studied.
Keywords: quantum system with constraints, space of distributions. 
@article{MZM_2016_100_4_a11,
     author = {O. Yu. Shvedov},
     title = {On {Function} {Spaces} for {Quantum} {Systems} with {Constraints}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {597--618},
     publisher = {mathdoc},
     volume = {100},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a11/}
}
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O. Yu. Shvedov. On Function Spaces for Quantum Systems with Constraints. Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 597-618. http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a11/