Physics:Quantum Boundary conditions and quantization - Revision history

Maintenance script: Normalize quantum page header order

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	'''Boundary conditions and quantization''' ~~is a Book I topic in the Quantum Collection. Quantum~~ boundary conditions and quantization describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels. * Boundary values imposed by the physical system A fundamental example is a particle confined in a one-dimensional box of length L: * Boundary conditions: \psi(0) = 0, \psi(L) = 0 Only discrete values of n = 1, 2, 3, \dots satisfy these conditions. The allowed energies for a particle in a box are: * L is the size of the system Energy becomes discrete because only standing-wave solutions compatible with the boundaries are allowed. * Only wavefunctions that “fit” within the boundaries are allowed * Continuous classical motion is replaced by discrete allowed states This explains why confined quantum systems exhibit discrete spectra.		'''Boundary conditions and quantization''' quantum boundary conditions and quantization describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels. The allowed energies for a particle in a box are: L is the size of the system Energy becomes discrete because only standing-wave solutions compatible with the boundaries are allowed. Only wavefunctions that “fit” within the boundaries are allowed Continuous classical motion is replaced by discrete allowed states This explains why confined quantum systems exhibit discrete spectra. These conditions ensure physically meaningful probability distributions. A fundamental example is a particle confined in a one-dimensional box of length L: This leads directly to quantized energy levels.
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	'''~~Quantum boundary~~ conditions and quantization''' describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels.~~<ref>[https://openstax.org/books/university-physics-volume-3/pages/7-4-~~the~~-quantum-~~particle-in-a-box The ~~Quantum Particle~~ in a ~~Box – OpenStax]</ref>~~		'''Boundary conditions and quantization''' is a Book I topic in the Quantum Collection. Quantum boundary conditions and quantization describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels. * Boundary values imposed by the physical system A fundamental example is a particle confined in a one-dimensional box of length L: * Boundary conditions: \psi(0) = 0, \psi(L) = 0 Only discrete values of n = 1, 2, 3, \dots satisfy these conditions. The allowed energies for a particle in a box are: * L is the size of the system Energy becomes discrete because only standing-wave solutions compatible with the boundaries are allowed. * Only wavefunctions that “fit” within the boundaries are allowed * Continuous classical motion is replaced by discrete allowed states This explains why confined quantum systems exhibit discrete spectra.
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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

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			{{Short description\|Quantum Collection topic on Quantum Boundary conditions and quantization}}

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	'''Quantum boundary conditions and quantization''' describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels.<ref>[https://openstax.org/books/university-physics-volume-3/pages/7-4-the-quantum-particle-in-a-box The Quantum Particle in a Box – OpenStax]</ref>		'''Quantum boundary conditions and quantization''' describe how physical constraints on wavefunctions restrict the allowed solutions of the Schrödinger equation, leading to discrete energy levels.<ref>[https://openstax.org/books/university-physics-volume-3/pages/7-4-the-quantum-particle-in-a-box The Quantum Particle in a Box – OpenStax]</ref>
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			[[File:Quantum_atomic_shell_model.svg\|thumb\|280px\|Quantum Boundary conditions and quantization.]]
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	~~[[File:Quantum_atomic_shell_model.svg\|thumb\|400px\|Atomic shell model showing K and L electron shells with a magnified view of the nucleus containing protons and neutrons.]]~~		</div>

	== Boundary conditions ==		== Boundary conditions ==

imported>WikiHarold: Repair Quantum Collection B backlink template

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