Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?

ABSTRACT

We reference the tunneling Hamiltonian to have particle tunneling among different states represented as wave-functions. Our problem applies wave-functionals to a driven sine-Gordon system. We apply the tunneling Hamiltonian to charge density wave (CDW) transport problems where we consider tunneling among states that are wave-functionals of a scalar quantum field,*i.e*.
derived I-E curves that match Zenier curves used to fit data experimentally
with wave-functionals congruent with the false vacuum hypothesis. The open
question is whether the coefficients picked in both wave-functionals and the
magnitude of the coefficients of the driven sine-Gordon physical system are
picked by topological charge arguments that appear to assign values consistent
with the false vacuum hypothesis. Crucial results by Fred Cooper *et al.* allow a mature quantum foam
interpretation of false vacuum nucleation for further refinement of our wave-functional results. In doing so, we give credence to topological arguments as a
first order phase transition in CDW I-E curves.

We reference the tunneling Hamiltonian to have particle tunneling among different states represented as wave-functions. Our problem applies wave-functionals to a driven sine-Gordon system. We apply the tunneling Hamiltonian to charge density wave (CDW) transport problems where we consider tunneling among states that are wave-functionals of a scalar quantum field,

KEYWORDS

Driven Sine Gordon Physical System, CDW, Topological Charge, False Vacuum Hypothesis, I-E Curves

Driven Sine Gordon Physical System, CDW, Topological Charge, False Vacuum Hypothesis, I-E Curves

Cite this paper

Walcott Beckwith, A. (2014) Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?.*Open Journal of Microphysics*, **4**, 15-19. doi: 10.4236/ojm.2014.42003.

Walcott Beckwith, A. (2014) Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?.

References

[1] Beckwith, A.W. (2006) An Open Question: Are Topological Arguments Helpful in Setting Initial Conditions for Transport Problems in Condensed Matter physics? Modern Physics Letters B, 20, 233-243.

http://arxiv.org/abs/math-ph/0411031

[2] Beckwith, A.W. (2006) A New S-S’ Pair Creation Rate Expression Improving Upon Zener Curves for I-E Plots. Modern Physics Letters B, 20, 849-861. http://arxiv.org/abs/math-ph/0411045

http://dx.doi.org/10.1142/S0217984906011219

[3] Moncrief, V. (1983) Finite-Difference Approach to Solving Operator Equations of Motion in Quantum Theory. Physical Review D, 28, 2485. http://dx.doi.org/10.1103/PhysRevD.28.2485

[4] Sveshnikov, K.A. (1990) Finite-Difference Effects in Quantum Field Theory and Quantization of Classical Solutions. Theoretical and Mathematical Physics, 82, 37-45. http://dx.doi.org/10.1007/BF01028250

[1] Beckwith, A.W. (2006) An Open Question: Are Topological Arguments Helpful in Setting Initial Conditions for Transport Problems in Condensed Matter physics? Modern Physics Letters B, 20, 233-243.

http://arxiv.org/abs/math-ph/0411031

[2] Beckwith, A.W. (2006) A New S-S’ Pair Creation Rate Expression Improving Upon Zener Curves for I-E Plots. Modern Physics Letters B, 20, 849-861. http://arxiv.org/abs/math-ph/0411045

http://dx.doi.org/10.1142/S0217984906011219

[3] Moncrief, V. (1983) Finite-Difference Approach to Solving Operator Equations of Motion in Quantum Theory. Physical Review D, 28, 2485. http://dx.doi.org/10.1103/PhysRevD.28.2485

[4] Sveshnikov, K.A. (1990) Finite-Difference Effects in Quantum Field Theory and Quantization of Classical Solutions. Theoretical and Mathematical Physics, 82, 37-45. http://dx.doi.org/10.1007/BF01028250