Finite-dimensional Hilbert space

We restrict ourselves to finite-dimensional Hilbert spaces, making H a Her-mitian matrix. We denote the eigenvalues of H q) by Efc(g) and consider the spectral decomposition... [Pg.386]

Remark For the existence of an inverse A in a finite-dimensional Hilbert space it suffices to require the positiveness of the operator A, since the condition A > 0 implies the existence of a constant 5 > 0 such that... [Pg.47]

We can discretize the model, in this case the anomalous conductivity distribution, Ad (r), by introducing a set of basis functions, V l (r), V 2 (r), / /v (r) in the finite dimensional Hilbert space M, which is a subspace of the complex Hilbert space Mo M/v C Mo- Let us approximate the anomalous conductivity by its projection over the basis functions ... [Pg.267]

QUANTUM-OPTICAL STATES IN FINITE-DIMENSIONAL HILBERT SPACE I. GENERAL FORMALISM... [Pg.155]

QUANTUM-OPTICAL STATES IN FINITE-DIMENSIONAL HILBERT SPACE 187 In particular, for s = 2,..., 7, we have... [Pg.187]

W. Leonski and A. Miranowicz, Quantum-optical states in finite-dimensional Hilbert space. II. State generation, Chapter 4, this volume. [Pg.193]

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