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Book
Hamiltonian cosmology
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ISBN: 0387057412 3540057412 354037146X 9783540057413 9780387057415 Year: 1972 Volume: 13 Publisher: Berlin ; Heidelberg ; New York : Springer-Verlag,

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Operator functional state : the assessment and prediction of human performance degradation in complex tasks : proceedings of the NATO advanced research workshop on operator functional state and impaired performance in complex work environment, 3-7 April 2002, Il Ciocco, Italy
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ISBN: 158603362X Year: 2003 Volume: 355 Publisher: Amsterdam : IOS Press,

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Book
Diagonalizing quadratic bosonic operators by non-autonomous flow equations
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ISBN: 9781470417055 Year: 2016 Publisher: Providence, Rhode Island : American Mathematical Society,

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Book
Topologically protected states in one-dimensional systems
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ISBN: 9781470423230 Year: 2017 Publisher: Providence American Mathematical Society


Book
Ground state energy of the magnetic Laplacian on corner domains
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ISBN: 9782856298305 Year: 2016 Publisher: Paris : Societé mathématique de France,


Book
Perturbation theory for the Schrödinger operator with a periodic potential
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ISBN: 3540631364 3540691561 9783540631361 Year: 1997 Volume: 1663 Publisher: Berlin ; Heidelberg ; New York Springer Verlag

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The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values.

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