A time-dependent quantum mechanical investigation of dynamical resonances in three-dimensional HeH2+ and HeHD+ systems

2000 ◽  
Vol 113 (1) ◽  
pp. 59-66 ◽  
Author(s):  
B. Maiti ◽  
S. Mahapatra ◽  
N. Sathyamurthy
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Quantum Mechanical ◽  
Mechanical Investigation

scholarly journals Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Özlem Yeşiltaş
Keyword(s):  
Dirac Equation ◽  
Three Dimensional ◽  
Space Time ◽  
Time Dependent ◽  
Quantum Mechanical ◽  
De Sitter ◽  
Metric Tensor ◽  
Curved Space ◽  
Dimensional Gravity ◽  
Dirac Hamiltonian

The Dirac Hamiltonian in the(2+1)-dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres. The spectrum and the exact solutions of the time dependent non-Hermitian and angle dependent Hamiltonians are obtained in terms of the Jacobi and Romanovski polynomials. Hermitian equivalent of the Hamiltonian obtained from the Dirac equation is discussed in the frame of pseudo-Hermiticity. Furthermore, pseudosupersymmetric quantum mechanical techniques are expanded to a curved Dirac Hamiltonian and a partner curved Dirac Hamiltonian is generated. Usingη-pseudo-Hermiticity, the intertwining operator connecting the non-Hermitian Hamiltonians to the Hermitian counterparts is found. We have obtained a new metric tensor related to the new Hamiltonian.

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