<p>We study quantum tunneling in the presence of linear damping. To this end, a linearly damped free particle is canonically quantized to obtain its energy eigenvalues and energy eigenstates. To explore how dissipation influences quantum tunneling, we compute the transmission coefficient for a rectangular potential barrier. It is observed that dissipation helps suppress quantum tunneling.</p>

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Quantum tunneling in the presence of linear damping

  • Ronit Mahapatra,
  • Asrarul Haque

摘要

We study quantum tunneling in the presence of linear damping. To this end, a linearly damped free particle is canonically quantized to obtain its energy eigenvalues and energy eigenstates. To explore how dissipation influences quantum tunneling, we compute the transmission coefficient for a rectangular potential barrier. It is observed that dissipation helps suppress quantum tunneling.