Solve 3D Dirac Equation: Simple Example

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SUMMARY

The discussion focuses on solving the 3D Dirac Equation, which is a modified version of the Schrödinger Equation that incorporates relativistic effects. Participants emphasize the importance of understanding the foundational concepts of the Schrödinger Equation before tackling the Dirac Equation. The conversation highlights the need for clear examples to illustrate the application of the Dirac Equation in practical scenarios.

PREREQUISITES
  • Understanding of the Schrödinger Equation
  • Familiarity with quantum mechanics principles
  • Basic knowledge of relativistic physics
  • Experience with mathematical modeling in physics
NEXT STEPS
  • Study the derivation of the Dirac Equation
  • Explore applications of the Dirac Equation in quantum field theory
  • Learn about the role of spinors in quantum mechanics
  • Investigate numerical methods for solving partial differential equations
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Physicists, graduate students in quantum mechanics, and researchers interested in advanced quantum theories and their applications.

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Can anyone give me a really simple example on how to use the eqn above to solve it? The eqn is the modified Schrödinger eqn that takes into account relativity.
 
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You asked the same question of Schroedinger's equation.

I think its best to get that sorted out first.

Thanks
Bill
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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