62 citations · 473 across the 38 of their papers we have counts for
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Spontaneous symmetry breaking in Quantum Finance
Ivan Arraut, Alan Au, Alan Ching-biu Tse
We analyze the phenomena of spontaneous symmetry breaking in Quantum Finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in t…
Black-Hole evaporation and Quantum-depletion in Bose-Einstein condensates
Ivan Arraut
We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We…
On the multiplicity of the martingale condition: Spontaneous symmetry breaking in Quantum Finance
Ivan Arraut, Alan Au, Alan Ching-biu Tse
We demonstrate that the martingale condition in the stock market can be interpreted as a vacuum condition when we express the financial equations in the Hamiltonian form. We then s…
On the loss of learning capability inside an arrangement of neural networks
Ivan Arraut, Diana Diaz
We analyze the loss of information and the loss of learning capability inside an arrangement of neural networks. Our method is new and based on the formulation of non-unitary Bogol…