5 citations · 10 across the 9 of their papers we have counts for
9 papers
Numerical accuracy and stability of semilinear Klein--Gordon equation in de Sitter spacetime
Takuya Tsuchiya, Makoto Nakamura
Numerical simulations of the semilinear Klein--Gordon equation in the de Sitter spacetime are performed. We use two structure-preserving discrete forms of the Klein--Gordon equatio…
Numerical simulations of semilinear Klein--Gordon equation in the de Sitter spacetime with structure-preserving scheme
Takuya Tsuchiya, Makoto Nakamura
We perform some simulations of the semilinear Klein--Gordon equation in the de Sitter spacetime. We reported the accurate numerical results of the equation with the structure-prese…
Uncertainty Relations and Quantum Corrections in Noncommutative Quantum Mechanics on a Curved Space
M. Nakamura
Starting with the first-order singular Lagrangian describing the dynamical system with 2nd-class constraints, the noncommutative quantum mechanics on a curved space is investigated…
Alternative Approach to Noncommutative Quantum Mechanics on a Curved Space
M. Nakamura
Starting with the first-order singular Lagrangian containing the redundant variables, the noncommutative quantum mechanics on a curved space is investigated by the constraint star-…
Noncommutative Quantum Mechanics on a Curved Space
M. Nakamura
Starting with the first-order singular Lagrangian, the canonical structures of the noncommutative quantum system on a submanifold embedded in the higher-dimensional Euclidean space…
Unified Description of Quantum Mechanics on a Curved Space
M. Nakamura
Starting with the first-order singular Lagrangian, the problem of the quantization of a dynamical system constrained to a submanifold embedded in the higher-dimensional Euclidean s…