摘要:

A treatment of the bound states for the hydrogen atom is given, based on the Schrödinger equation in momentum representation. The work runs parallel to Fock's treatment of the integral equation in momentum space. The problem is reduced to an eigenvalue equation for the Laplace-Beltrami operator in a momentum space of constant curvature, from which Balmer formula and the eigenfunctions are easily derived.

ISSN:0002-9505    

DOI:10.1119/1.1974161

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

摘要:

The method of J. J. Thomson of analyzing the kink in the electric-field lines is used to obtain the expression for the electric field of a charged particle undergoing a parallel acceleration while moving atanyvelocityvless thanc. Thomson originally applied the method to aslowlymoving charge and thereby obtained a result correct to zeroth order inv/c. The technique is rigorously and directly applicable, without approximation, to a charge moving with large velocity. Thus one can obtain the acceleration field of a fast-moving charge without resorting to more elaborate treatments such as the use of the Lienard-Wiechert potentials.

ISSN:0002-9505    

DOI:10.1119/1.1974162

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

摘要:

In a nonrelativistic theory, the “contact” interaction between two point particles has a delta-function singularity. It is shown for the attractive case that this leads to an infinite binding energy for the ground state, and hence cannot be physically meaningful. The hyperfine shift in the energy is calculated, using the variational principle, for a smeared-out interaction both for hydrogen and positronium. It is found that the binding energies become unphysically large if the sizes of the particles are reduced beyond a certain nonzero limit which represents the minimum size of the particle.

ISSN:0002-9505    

DOI:10.1119/1.1974163

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

摘要:

A system providing a quantitative electronic determination of the Doppler effect of acoustic waves is described. The system makes use of a movable detector tuned to a frequency slightly different from that of a signal delivered to a fixed loudspeaker. A resonance condition is exhibited when the Doppler-shifted frequency “seen” by the moving detector corresponds to the frequency at which it is tuned.

ISSN:0002-9505    

DOI:10.1119/1.1974164

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974165

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974166

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974167

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974168

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974169

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP

ISSN:0002-9505    

DOI:10.1119/1.1974170

出版商:American Association of Physics Teachers    

年代:1967

数据来源: AIP