AAWSAP DIRD, Negative Mass Propulsion, January 2011

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8. Negative Mass Interpretation of the Aharonov-Bohm
Effect [11]
In Maxwell's equations the electric and magnetic fields can be expressed through a
scalar potential <1> and a vector potential A:
18A
E = ---- grad¢
C at
(77)
H = curlA
E and H remain unchanged under the gauge transformation of the potentials
<J.)' = <I) - ! 8/
C 8t
(78)
A'= A+gradf
where / is called the gauge function. Imposing on <1> and A the Lorentz gauge condition,
_!_ o<P +divA = 0
(79)
C Ot
the gauge function must satisfy the wave equation
(80)
In an electromagnetic field the force on a charge e is
1 8A
1
]
=e[ ----grad<P+-vxcur/A .
(81)
C at
C
By making a gauge transformation of the Hamilton operator in the Schrodinger wave
equation, the wave function transforms as
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