Quantum Tunneling in Time-Dependent Potential Barrier: a General Formulation and Some Exactly Solvable Models

1991 ◽  
Vol 39 (1) ◽  
pp. 85-99 ◽  
Author(s):  
Ashok Pimpale ◽  
M. Razavy
Keyword(s):  
Potential Barrier ◽  
Quantum Tunneling ◽  
Time Dependent ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Exactly Solvable ◽  
Dependent Potential

scholarly journals Effective quantum tunneling from a semiclassical momentous approach

2020 ◽  
Vol 34 (29) ◽  
pp. 2050271
Author(s):  
L. Aragón-Muñoz ◽  
G. Chacón-Acosta ◽  
H. Hernandez-Hernandez
Keyword(s):  
Dynamical System ◽  
Quantum Mechanics ◽  
Potential Barrier ◽  
Quantum Tunneling ◽  
Time Dependent ◽  
Tunnel Effect ◽  
Expectation Values ◽  
Effective Time ◽  
Dependent Potential ◽  
Individual Particles

In this work, we study the quantum tunnel effect through a potential barrier within a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution of the system is given in terms of a dynamical system for which we are able to determine numerical effective trajectories for individual particles, similar to the Bohmian description of quantum mechanics. We obtain a complete description of the possible trajectories of the system, finding semiclassical reflected, tunneled and confined paths due to the appearance of an effective time-dependent potential.

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

scholarly journals Exactly solvable models in arbitrary dimensions

1998 ◽  
Vol 238 (4-5) ◽  
pp. 213-218 ◽  
Author(s):  
Ranjan Kumar Ghosh ◽  
Sumathi Rao
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Exactly Solvable ◽  
Arbitrary Dimensions

Exactly solvable models for trapped boson systems

2004 ◽  
Vol 243 (1-6) ◽  
pp. 131-143 ◽  
Author(s):  
J. Dukelsky ◽  
G.G. Dussel ◽  
S. Pittel
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Boson Systems ◽  
Exactly Solvable

scholarly journals Exactly solvable models through the empty-interval method

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
M. Alimohammadi ◽  
M. Khorrami ◽  
A. Aghamohammadi
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Empty Interval ◽  
Interval Method ◽  
Exactly Solvable
Sign in / Sign up

Export Citation Format

Share Document