Energy Current on Multi-Body Potential with Dirac Delta Function

Energy Current with Multi–body Interaction using Dirac Delta Function

Energy density and energy flux was introduced along Takesue’s method. Particle energies were localized at particle positions using Dirac delta function. The energy density was connected with the energy flux by continuity equation. New method was proposed to deal with multi–body interaction. Consequently, the energy current between particles could be calculated even if the multi–body interaction...

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Dirac delta potential problem

We show that the N = 2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear su(2|2) superunitary symmetry. The supersymmetry admits three distinct Z2-gradings, that results in a separation of 16 integrals of motion into different sets of 8 bosonic and 8 fermionic operators generating two nonlinear, deformed forms of su(2|2), in which the Hamiltonian pl...

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superextended 1 D Dirac delta potential problem

We show that the N = 2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear su(2|2) superunitary symmetry. The supersymmetry admits three distinct Z2-gradings, that results in a separation of 16 integrals of motion into different sets of 8 bosonic and 8 fermionic operators generating two nonlinear, deformed forms of su(2|2), in which the Hamiltonian pl...

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Delta-Function Potential with a Complex Coupling

We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...

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Delta-Function Potential with Complex Coupling

We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...

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Energy Current on Multi-Body Potential with Dirac Delta Function

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منابع مشابه

Energy Current with Multi–body Interaction using Dirac Delta Function

Dirac delta potential problem

superextended 1 D Dirac delta potential problem

Delta-Function Potential with a Complex Coupling

Delta-Function Potential with Complex Coupling

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