We present combined BIMA interferometer and IRAM 30 m Telescope data of N _ { 2 } H ^ { + } 1–0 line emission across the nearby dense , star forming core Ophiuchus A ( Oph A ) at high linear resolution ( e.g. , \sim 1000 AU ) . Six maxima of integrated line intensity are detected which we designate Oph A-N1 through N6 . The N4 and N5 maxima are coincident with the starless continuum objects SM1 and SM2 respectively but the other maxima are not coincident with previously-identified objects . In contrast , relatively little N _ { 2 } H ^ { + } 1–0 emission is coincident with the starless object SM2 and the Class 0 protostar VLA 1623 . The FWHM of the N _ { 2 } H ^ { + } 1–0 line , \Delta V , varies by a factor of \sim 5 across Oph A . Values of \Delta V < 0.3 km s ^ { -1 } are found in 14 locations in Oph A , but only that associated with N6 is both well-defined spatially and larger than the beam size . Centroid velocities of the line , V _ { LSR } , vary relatively little , having an rms of only \sim 0.17 km s ^ { -1 } . Small-scale V _ { LSR } gradients of < 0.5 km s ^ { -1 } over \sim 0.01 pc are found near SM1 , SM1N , and SM2 , but not N6 . The low N _ { 2 } H ^ { + } abundances of SM2 or VLA 1623 relative to SM1 , SM1N , or N6 may reflect relatively greater amounts of N _ { 2 } adsorption onto dust grains in their colder and probably denser interiors . The low \Delta V of N6 , i.e. , 0.193 km s ^ { -1 } FWHM , is only marginally larger than the FWHM expected from thermal motions alone , suggesting turbulent motions in the Oph A core have been reduced dramatically at this location . The non-detection of N6 in previous thermal continuum maps suggests that interesting sites possibly related to star formation may be overlooked in such data .