Tru Physics

Author: Tru Physics

  • Problem 5.2 – Griffith’s Intro to QM

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    Problem 5.2 In view of Problem 5.1, we can correct for the motion of the nucleus in hydrogen by simply replacing the electron mass with the reduced mass. (a) Find (to two significant digits) the percent error in the binding energy of hydrogen (Equation 4.77) introduced by our use of instead of (b) Find the…

  • Problem 4.5 – Griffith’s Intro to QM

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    Problem 4.5 Show that satisfies the equation (Equation 4.25), for . This is the unacceptable “second solution”—what’s wrong with it? Solution: Problem 4.5 Solution (Download)

  • Problem 4.4 – Griffith’s Intro to QM

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    Problem 4.4 Use Equations 4.27, 4.28, and 4.32, to construct and . Check that they are normalized and orthogonal. Solution: Problem 4.4 Solution (Download)

  • Problem 4.2 – Griffith’s Intro to QM

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    Problem 4.2 Use separation of variables in cartesian coordinates to solve the infinite cubical well (or “particle in a box”): (a) Find the stationary states, and the corresponding energies. (b) Call the distinct energies , in order of increasing energy. Find , and . Determine their degeneracies (that is, the number of different states that…

  • Problem 4.1 – Griffith’s Intro to QM

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    Problem 4.1 (a) Work out all of the canonical commutation relations for components of the operators r and p: , , , , and so on.Answer: where the indices stand for , , or , and , , and . (b) Confirm the three-dimensional version of Ehrenfest’s theorem, (Each of these, of course, stands for…

  • Particle in a Box

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    The particle in a box, also known as the particle in a cubic box, is a fundamental quantum mechanical model that describes a particle confined to a three-dimensional (3D) box with infinite potential energy at and beyond the walls of the box. This model provides insights into energy quantization, wavefunctions, and quantum states for particles…

  • Infinite Square Well

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    The infinite square well is a fundamental one-dimensional model in quantum mechanics that describes a particle confined to a potential energy well with infinitely high walls. This simple model is used to introduce and study basic quantum mechanical concepts such as energy quantization and wavefunctions. The infinite square well provides a valuable pedagogical tool for…

  • Zitterbewegung

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    Zitterbewegung, a German term meaning “trembling motion,” is a theoretical concept in quantum mechanics that describes the rapid oscillatory motion of particles such as electrons. It was first proposed by Erwin Schrödinger in 1930 as a consequence of the relativistic Dirac equation, which describes the behavior of fermions (particles with half-integer spin) like electrons. Properties…

  • Jansky (unit)

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    The Jansky (Jy) is a non-SI unit of spectral flux density used primarily in radio astronomy to quantify the strength of radio sources. The unit is named in honor of the pioneering American radio astronomer Karl Guthe Jansky, who made significant contributions to the field in the early 20th century. Definition of Jansky A Jansky…

  • Impulse

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    Impulse is a fundamental concept in classical mechanics that describes the effect of a force acting on an object over a short period of time. It is equivalent to the change in momentum of the object and is essential for understanding various physical phenomena, such as collisions and explosions. Definition of Impulse Impulse () is…