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Mathematical methods for physicists

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The article was published on 1970-01-01 and is currently open access. It has received 4236 citations till now.

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NCIPLOT: A Program for Plotting Noncovalent Interaction Regions

TL;DR: The NCI computational algorithms and their implementation for the analysis and visualization of weak interactions, using both self-consistent fully quantum-mechanical, as well as promolecular, densities are described.
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Photoacoustic imaging in biomedicine

TL;DR: An overview of the rapidly expanding field of photoacoustic imaging for biomedical applications can be found in this article, where a number of imaging techniques, including depth profiling in layered media, scanning tomography with focused ultrasonic transducers, image forming with an acoustic lens, and computed tomography using unfocused transducers are introduced.
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A multicenter numerical integration scheme for polyatomic molecules

TL;DR: In this article, a simple scheme for decomposition of molecular functions into single center components is proposed, which reduces the problem of three-dimensional integration in molecular systems to a sum of one-center, atomic-like integrations which are treated using standard numerical techniques in spherical polar coordinates.
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Ab Initio Molecular Simulations with Numeric Atom-Centered Orbitals

TL;DR: The construction of transferable, hierarchical basis sets are demonstrated, allowing the calculation to range from qualitative tight-binding like accuracy to meV-level total energy convergence with the basis set, since all basis functions are strictly localized.
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A generalized reaction field method for molecular dynamics simulations

TL;DR: In this paper, an analytical solution of the linearized Poisson-Boltzmann (PB) equation valid in a spherical region is obtained, which can be used for evaluating the electrostatic potential and its derivative at the origin of the sphere.