Perturbed Operators in Hilbert Space
Perturbed operators in Hilbert space in justification of Rayleigh-Schroedinger perturbation theory in quantum chemistry
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Perturbed operators in Hilbert space in justification of Rayleigh-Schroedinger perturbation theory in quantum chemistry
Abstract reproducing kernel Hilbert spaces /RKHS/, applying basic properties to band limited signals study
Newton-gradient method for non-linear problems in Hilbert space
Algorithm for computing pseudoinverse for any linear operator on Hilbert spaces
Invariance method for extending Liapunov function to distributed parameter system
Operator theory of pseudo-inverse generalized to encompass linear bounded operators on Hilbert spaces
Linear and antilinear transformations for real and complex Hilbert space
Differential operators and adjoint systems derived from Green function and Hilbert spaces
Pseudo-inverse concept extended to Hilbert space unbounded operators with arbitrary range
Lower bound procedure in quantum mechanical energy equation eigenvalue problem by partitioning and bracketing Hilbert space
Existence and uniqueness theorem of Riccati equation arising in solution of optimal linear regulator problems in Hilbert space
Extension of pseudo-inverse operator theory to Hilbert space operators that are unbounded and have arbitrary range
Equivalence of elementary and composite particles established by generalized Weinberg formalism for addition of discrete eigenstates of free-particle Hamiltonian to Hilbert space of system
The bracketing theorem in the partitioning technique for solving the Schrödinger equation may be used in principle to determine upper and lower bounds to energy eigenvalues. Practical lower bounds of any accuracy desired may be evaluated by utilizing the properties of ``inner projections'' on finite manifolds in the Hilbert space. The method is here applied to the ground state and excited states of a Hamiltonian H=H(sub 0)+V having a positive definite perturbation V. Even if inspiration is derived from the method of intermediate Hamiltonians, the final results are of bracketing type and independent of this approach. The method is numerically illustrated in some accompanying papers.
Classification and construction of open-channel projection operators for rearrangement collisions using subspaces of total Hilbert space of system
Book on stationary and related stochastic processes covering sample function properties and applications, Hilbert space geometry, etc
Semigroups, groups and Liapunov stability of partial differential equation, obtaining operator differential equations in Hilbert spaces
Differential operators and adjoints defined on Hilbert space of n x 1 matrices under integral and multiple point boundary conditions