8 papers
Stochastic Quantisation and Non-Equilibrium Statistical Mechanics
Jayanta K. Bhattacharjee, Debashis Gangopadhyay
The stochastic quantisation technique of Parisi and Wu is extended to study non-equilibrium statistical mechanics. We show that this scheme is capable of handling white as well as…
Quantum Logic Gates using q-deformed Oscillators
Debashis Gangopadhyay, Mahendra Nath Sinha Roy
We show that the quantum logic gates, {\it viz.} the single qubit Hadamard and Phase Shift gates, can also be realised using q-deformed angular momentum states constructed via the…
Spacetime Dependent Lagrangians and the Vacuum Expectation Value of the Higgs field
R. Bhattacharyya, Debashis Gangopadhyay
The spacetime dependent lagrangian formalism of references [1-2] is used to obtain a classical solution of Yang-Mills theory. This is then used to obtain an estimate of the vacuum…
Van der Waerden's Colouring Theorem and Weak-Strong Duality on the Lattice
Debashis Gangopadhyay, Ranjan Chaudhury
Van der Waerden's (VDW) colouring theorem in combinatoric number theory [1] has scope for physical applications.The solution of the two colour case has enabled the construction of…
Duality In Equations of Motion from Spacetime Dependent Lagrangians
Rajsekhar Bhattacharyya, Debashis Gangopadhyay
Starting from lagrangian field theory and the variational principle, we show that duality in equations of motion can also be obtained by introducing explicit spacetime dependence o…
The Meaning of Maximal Symmetry in Presence of Torsion
Debashis Gangopadhyay, Soumitra Sengupta
We show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present. All that is required is that the torsion fields satisfy some…