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Relativistic and Non-Relativistic Quantum Mechanics - Both at Once (1st ed. 2023)
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Relativistic and Non-Relativistic Quantum Mechanics - Both at Once (1st ed. 2023)
Series: Undergraduate Lecture Notes in Physics
Expected to ship within 10 - 15 working days
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Currently, relativistic quantum mechanics is considered an advanced
topic only accessible to students who have already received
considerable training in non-relativistic quantum mechanics.
However, the authors believe that they have found an excellent
pedagogic approach for simultaneously introducing both topics. This
book is considered an Introductory Quantum Mechanics textbook that
presents relativistic quantum mechanics to interested learners with
no previous knowledge of it. The authors avoid utilization of the
well-known Lorentz invariant equations. Additionally, they only
refer to the Klein-Gordon and Dirac equations to justify the use of
the Poveda-Poirier-Grave de Peralta (PPGP) equations, upon which
this book is solely based (while sporadically referring to
well-known results obtained using the Klein-Gordon and Dirac
equations to avoid unnecessary complications in an introductory
book). There also exist two complementary Schrödinger-like and
Pauli-like PPGP equations, the solutions of which are identical to
the respective solutions of the Klein-Gordon and Dirac equations
associated with negative kinetic energies. These equations’
relation to the existence of antiparticles is discussed. The
intended readership is undergraduate physics, chemistry, and
engineering students with no previous knowledge of quantum
mechanics, as well as graduate students and professionals
interested in the subject.
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