What is recorded here?
Fock connected changes of electromagnetic potentials with a compensating phase factor in the charged scalar wavefunction. An additional coordinate parameter made the combined transformation explicit in his invariant wave-equation representation. Fock changes the vector/scalar potentials by derivatives of an arbitrary function and compensates with a shift of the extra coordinate. Exponential dependence on that coordinate becomes a unit-modulus phase factor for the wavefunction. His note in proof explicitly acknowledges Klein’s independently obtained results as identical in principle. Weyl’s later spinor and local-phase field organization is a related, distinct contribution.
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Scientific scope
The target is the 1926 potential/phase relation within the stated scalar-wave and extra-coordinate ansatz. Stationary energy-level discussion uses time-independent coefficients and suitable finiteness/continuity requirements; it is not invariance of every energy label under arbitrary time-dependent gauges. No full modern gauge-field theory, Dirac-spinor extension, physical extra-dimension evidence, independent certification of translated equations or exclusive priority is claimed.
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People and systems
Vladimir Aleksandrovich Fock
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English catalogue narrative
Fock: electromagnetic-potential changes and wavefunction phase
Fock connected changes of electromagnetic potentials with a compensating phase factor in the charged scalar wavefunction. An additional coordinate parameter made the combined transformation explicit in his invariant wave-equation representation.
Fock changes the vector/scalar potentials by derivatives of an arbitrary function and compensates with a shift of the extra coordinate. Exponential dependence on that coordinate becomes a unit-modulus phase factor for the wavefunction. His note in proof explicitly acknowledges Klein’s independently obtained results as identical in principle. Weyl’s later spinor and local-phase field organization is a related, distinct contribution.
Scientific scope
The target is the 1926 potential/phase relation within the stated scalar-wave and extra-coordinate ansatz. Stationary energy-level discussion uses time-independent coefficients and suitable finiteness/continuity requirements; it is not invariance of every energy label under arbitrary time-dependent gauges. No full modern gauge-field theory, Dirac-spinor extension, physical extra-dimension evidence, independent certification of translated equations or exclusive priority is claimed.
People and systems
Vladimir Aleksandrovich Fock