
The fundamental interactions in nature are now believed to be
mediated by the gravitational and gauge fields.The unification of these fields by means of a quantum theory is, perhaps, the most important unsolved problem in theoretical physics today
A possible approach to gaining insight into the relationship of these fields to each other and to quantum theory is to study the effect of gravity and gauge fields on quantum systems. Such an approach, being operational and physical, has the side benefit of suggesting experiments that may be performable in the laboratory to test the effect of gravity on quantum systems.
Some of the topics in which I have done research along this line are
the following: thermoelectromagneticgravitational effects
in conductors, including superconductors, determination of the spacetime geometry and gauge fields using quantum probes, formulation of a geometry appropriate for quantum theory,a united approach to gravity and gauge fields using group elements and the study of a new geometrical phase that Y. Aharonov and I have introduced in the cyclic evolution of a quantum system, which generalizes the one found by Berry in the adiabatic limit.I am now working on Geometric Quantum Computaion with a student of mine,Shengjun Wu.
SELECTED PUBLICATIONS
‘’ Classical and Quantum Interaction of the Dipole’’, J.Anandan, Physical Review Letters, 85
, No. 1, 1354 (2000)
‘’ Secret Life of the Dipole‘’, J.Anandan , invited Article, Nature , 387, 558559 (5 June 1997)
‘’ Gravitational Phase Operator and the Cosmic String‘’, J.Anandan, Physical Review D 53
, No. 2, 779786 (1996), grqc/9507049
‘’ Interference of Geometries in Quantum Gravity‘’, J. S. Anandan, Journal of General Relativity and Gravitation
26, No. 2, 125 123, (1994).
‘’ Topological and Geometrical Phases due to Gravitational Field with Curvature and Torsion‘’, J. S. Anandan, Physics Letters, A,
195, No. 5, 6 284292 (1994).
‘’ Protective Measurement and Quantum Reality‘’, J. Anandan, Foundations of Physics Letters, 6
, No. 6, 503532 (1993).
‘’ The Geometric Phase‘’, J.Anandan, invited review paper, Nature 360,307313, (Nov. 26,1992).
‘’ A Geometric Approach to Quantum Mechanics‘’, J.Anandan, Foundations of Physics 21
,No. 11, 12651284 (1991)
‘’ Geometry Of Quantum Evolution‘’, J. Anandan and Y. Aharonov, Physical Review Letters 65
, 16971700 (1900)
‘’Geometric Angles in Quantum and Classical Physics‘’, J. Anandan, Physics Letters A, 129, No. 4, 201207 (1988)
‘’ Meaning of the Wave Function‘’, with Y. Aharonov, J. Anandan, and L. Vaidman, Physical Review, A
47, No. 6, 46164626.
