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This elementary text introduces basic quantum mechanics to undergraduates with no background in mathematics beyond algebra. Containing more than 100 problems, it provides an easy way to learn part of the quantum language and apply it to problems. Emphasizing the matrices representing physical quantities, it describes states simply by mean values of physical quantities or by probabilities for possible values. This approach requires using the algebra of matrices and complex numbers together with probabilities and mean values, a technique introduced at the outset and used repeatedly. Students…mehr
This elementary text introduces basic quantum mechanics to undergraduates with no background in mathematics beyond algebra. Containing more than 100 problems, it provides an easy way to learn part of the quantum language and apply it to problems. Emphasizing the matrices representing physical quantities, it describes states simply by mean values of physical quantities or by probabilities for possible values. This approach requires using the algebra of matrices and complex numbers together with probabilities and mean values, a technique introduced at the outset and used repeatedly. Students discover the essential simplicity of quantum mechanics by focusing on basics and working only with key elements of the mathematical structure--an original point of view that offers a refreshing alternative for students new to quantum mechanics.
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Inhaltsangabe
1. A Strange Equation 2. Imaginary Numbers 3. Matrices 4. Pauli Matrices 5. Vectors 6. Probability 7. Basic Rules 8. Spin and Magnetic Moment 9. Sunrise and First View 10. All Quantities Made from Spin 11. Non-negative Quantities 12. What Can Be Measured 13. General Rules 14. Two Spins 15. Einstein's Instincts 16. Bell's Inequalities 17. Heisenberg's Uncertainty Relations 18. Quantized Oscillator Energy 19. Bohr's Model 20. Angular Momentum 21. Rotational Energy 22. The Hydrogen Atom 23. Spin Rotations 24. Small Rotations 25. Changes in Space Location 26. Changes in Time 27. Changes in Velocity 28. Invariance and What It Implies Index
1. A Strange Equation 2. Imaginary Numbers 3. Matrices 4. Pauli Matrices 5. Vectors 6. Probability 7. Basic Rules 8. Spin and Magnetic Moment 9. Sunrise and First View 10. All Quantities Made from Spin 11. Non-negative Quantities 12. What Can Be Measured 13. General Rules 14. Two Spins 15. Einstein's Instincts 16. Bell's Inequalities 17. Heisenberg's Uncertainty Relations 18. Quantized Oscillator Energy 19. Bohr's Model 20. Angular Momentum 21. Rotational Energy 22. The Hydrogen Atom 23. Spin Rotations 24. Small Rotations 25. Changes in Space Location 26. Changes in Time 27. Changes in Velocity 28. Invariance and What It Implies Index
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