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- https://chem.libretexts.org/Courses/BethuneCookman_University/B-CU%3ACH-331_Physical_Chemistry_I/CH-331_Text/CH-331_Text/03._The_Schrodinger_Equation_and_a_Particle_In_a_Box/3.04%3A_The_Quantum_Mechanical_Free_ParticleThe simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion ...The simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion only in the x-direction. We discuss that the wavefunction can be a linear combination of eigenfunctions and wavepackets can be constructed of eigenstates to generate a localized particle picture that a single eigenstate does not posess.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Advanced_Theoretical_Chemistry_(Simons)/01%3A_The_Basics_of_Quantum_Mechanics/1.04%3A_Free_Particle_Motions_in_More_DimensionsNotice that the sign of the momenta are positive in each of the first integrals appearing above (because the particle is moving from \(x = 0\) to \(x = L_x\), and analogously for \(y\)-motion, and thu...Notice that the sign of the momenta are positive in each of the first integrals appearing above (because the particle is moving from \(x = 0\) to \(x = L_x\), and analogously for \(y\)-motion, and thus has positive momentum) and negative in each of the second integrals (because the motion is from \(x = L_x\) to \(x = 0\) (and analogously for \(y\)-motion) and thus the particle has negative momentum).
- https://chem.libretexts.org/Courses/Knox_College/Chem_322%3A_Physical_Chemisty_II/08%3A_The_Schrodinger_Equation_and_a_Particle_in_a_Box/8.04%3A_The_Quantum_Mechanical_Free_ParticleThe simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion ...The simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion only in the x-direction. We discuss that the wavefunction can be a linear combination of eigenfunctions and wavepackets can be constructed of eigenstates to generate a localized particle picture that a single eigenstate does not posess.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Book%3A_Quantum_States_of_Atoms_and_Molecules_(Zielinksi_et_al)/05%3A_Translational_States/5.01%3A_The_Free_ParticleIn classical physics, a free particle is one that is present in a "field-free" space. In quantum mechanics, it means a region of uniform potential, usually set to zero in the region of interest since ...In classical physics, a free particle is one that is present in a "field-free" space. In quantum mechanics, it means a region of uniform potential, usually set to zero in the region of interest since potential can be arbitrarily set to zero at any point (or surface in three dimensions) in space. Here, we obtain the Schrödinger equation for the free particle in one dimension.
- https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry__I/UCD_Chem_110A%3A_Physical_Chemistry_I_(Larsen)/Text/03%3A_The_Schrodinger_Equation_and_the_Particle-in-a-Box_Model/3.I%3A_Interactive_Worksheets/3.I.1%3A_Free_Particle_(Python_Notebook)We start by describing a free particle: a particle that is not under the influence of a potential.
- https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry__I/UCD_Chem_110A%3A_Physical_Chemistry_I_(Larsen)/Text/03%3A_The_Schrodinger_Equation_and_the_Particle-in-a-Box_Model/3.04%3A_The_Quantum_Mechanical_Free_ParticleThe simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion ...The simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion only in the x-direction. We discuss that the wavefunction can be a linear combination of eigenfunctions and wavepackets can be constructed of eigenstates to generate a localized particle picture that a single eigenstate does not posess.
- https://chem.libretexts.org/Ancillary_Materials/Interactive_Applications/Jupyter_Notebooks/Free_Particle_(Python_Notebook)We start by describing a free particle: a particle that is not under the influence of a potential.
- https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry__I/UCD_Chem_110A%3A_Physical_Chemistry_I_(Koski)/Text/03%3A_The_Schrodinger_Equation/3.04%3A_The_Quantum_Mechanical_Free_ParticleThe simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion ...The simplest system in quantum mechanics has the potential energy V=0 everywhere. This is called a free particle since it has no forces acting on it. We consider the one-dimensional case, with motion only in the x-direction. We discuss that the wavefunction can be a linear combination of eigenfunctions and wavepackets can be constructed of eigenstates to generate a localized particle picture that a single eigenstate does not posess.
