SUMMARY
The potential V=(|x|-a)^2 is indeed exactly solvable in quantum mechanics, allowing for the determination of its eigenstates. This conclusion is supported by references in the literature, particularly in the work of Merzbacher. The discussion highlights the importance of accessing reliable resources, such as the provided link to a detailed PDF on the double oscillator, which outlines the mathematical framework and solutions relevant to this potential.
PREREQUISITES
- Quantum mechanics fundamentals
- Understanding of eigenstates and eigenvalues
- Familiarity with potential energy functions
- Basic knowledge of mathematical physics
NEXT STEPS
- Review Merzbacher's "Quantum Mechanics" for detailed explanations of solvable potentials
- Study the PDF on the double oscillator for practical examples and solutions
- Explore the mathematical techniques used in solving quantum mechanical problems
- Investigate other exactly solvable potentials in quantum mechanics
USEFUL FOR
Students and professionals in physics, particularly those specializing in quantum mechanics, as well as researchers looking for exact solutions to quantum potential problems.